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\def\BF{\mathcal{B}}
\def\semilep{\Ds\to Xe^{+}\nu_e}
\def\semilepBF{\BF\left(\semilep\right)}
\def\taucont{\Ds\to\tau^+\nu_
\tau\to e^+\nu_e\nu_\tau\overline{\nu}_\tau}

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\def\Dst{D^*}
\def\aDst{\overline{\Dst}}
\def\Ds{D_{s}^{+}}
\def\DsST{D_{s}^{*+}}
\def\DsSTDs{D_{s}^{*+}D_{s}^{-}}
\def\DsDs{D_{s}^{+}D_{s}^{-}}
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\def\Ecm{E_{\text{cm}}}
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\def\mbc{m_{bc}}
\def\Minv{M_{\text{$\mumu$}}}
\def\Mrec{M_{\text{Rec}}}
\def\btag{b_{\text{tag}}}

\def\invpb{\text{ pb}^{-1}}
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\def\MeV{\text{ MeV}}
\def\GeV{\text{ GeV}}
\def\GeVc{\text{ GeV}/ c}
\def\cm{\text{ cm}}

\def\EcmA{\Ecm=4.178\GeV}
\def\EcmB{\Ecm=4.189-4.219\GeV}
\def\EcmC{\Ecm=4.225-4.230\GeV}

\def\Kpi{K^- \, \pi^+}
\def\Kpipipi{K^- \, \pi^+ \, \pi^+ \, \pi^-}

\def\eetoDstDst{\ee \rightarrow \Dst \aDst}
\def\eetomumu{\ee \rightarrow \mumu}

\def\DsttopiDO{\Dst \rightarrow \pi \; \DO}
\def\DOtoKpi{\DO \rightarrow \Kpi}
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\def\pp{\phantom{0}}
\def\PP{\phantom{00}}

\begin{document}

\title{\boldmath Measurement of the absolute branching fraction of inclusive semielectronic $\Ds$ decays}

\author{
M.~Ablikim$^{1}$, M.~N.~Achasov$^{10,b}$, P.~Adlarson$^{67}$, S. ~Ahmed$^{15}$, M.~Albrecht$^{4}$, R.~Aliberti$^{28}$, A.~Amoroso$^{66A,66C}$, M.~R.~An$^{32}$, Q.~An$^{63,49}$, X.~H.~Bai$^{57}$, Y.~Bai$^{48}$, O.~Bakina$^{29}$, R.~Baldini Ferroli$^{23A}$, I.~Balossino$^{24A}$, Y.~Ban$^{38,h}$, K.~Begzsuren$^{26}$, N.~Berger$^{28}$, M.~Bertani$^{23A}$, D.~Bettoni$^{24A}$, F.~Bianchi$^{66A,66C}$, J.~Bloms$^{60}$, A.~Bortone$^{66A,66C}$, I.~Boyko$^{29}$, R.~A.~Briere$^{5}$, H.~Cai$^{68}$, X.~Cai$^{1,49}$, A.~Calcaterra$^{23A}$, G.~F.~Cao$^{1,54}$, N.~Cao$^{1,54}$, S.~A.~Cetin$^{53A}$, J.~F.~Chang$^{1,49}$, W.~L.~Chang$^{1,54}$, G.~Chelkov$^{29,a}$, D.~Y.~Chen$^{6}$, G.~Chen$^{1}$, H.~S.~Chen$^{1,54}$, M.~L.~Chen$^{1,49}$, S.~J.~Chen$^{35}$, X.~R.~Chen$^{25}$, Y.~B.~Chen$^{1,49}$, Z.~J~Chen$^{20,i}$, W.~S.~Cheng$^{66C}$, G.~Cibinetto$^{24A}$, F.~Cossio$^{66C}$, X.~F.~Cui$^{36}$, H.~L.~Dai$^{1,49}$, X.~C.~Dai$^{1,54}$, A.~Dbeyssi$^{15}$, R.~ E.~de Boer$^{4}$, D.~Dedovich$^{29}$, Z.~Y.~Deng$^{1}$, A.~Denig$^{28}$, I.~Denysenko$^{29}$, M.~Destefanis$^{66A,66C}$, F.~De~Mori$^{66A,66C}$, Y.~Ding$^{33}$, C.~Dong$^{36}$, J.~Dong$^{1,49}$, L.~Y.~Dong$^{1,54}$, M.~Y.~Dong$^{1,49,54}$, X.~Dong$^{68}$, S.~X.~Du$^{71}$, Y.~L.~Fan$^{68}$, J.~Fang$^{1,49}$, S.~S.~Fang$^{1,54}$, Y.~Fang$^{1}$, R.~Farinelli$^{24A}$, L.~Fava$^{66B,66C}$, F.~Feldbauer$^{4}$, G.~Felici$^{23A}$, C.~Q.~Feng$^{63,49}$, J.~H.~Feng$^{50}$, M.~Fritsch$^{4}$, C.~D.~Fu$^{1}$, Y.~Gao$^{38,h}$, Y.~Gao$^{64}$, Y.~Gao$^{63,49}$, Y.~G.~Gao$^{6}$, I.~Garzia$^{24A,24B}$, P.~T.~Ge$^{68}$, C.~Geng$^{50}$, E.~M.~Gersabeck$^{58}$, A~Gilman$^{61}$, K.~Goetzen$^{11}$, L.~Gong$^{33}$, W.~X.~Gong$^{1,49}$, W.~Gradl$^{28}$, M.~Greco$^{66A,66C}$, L.~M.~Gu$^{35}$, M.~H.~Gu$^{1,49}$, Y.~T.~Gu$^{13}$, C.~Y~Guan$^{1,54}$, A.~Q.~Guo$^{22}$, L.~B.~Guo$^{34}$, R.~P.~Guo$^{40}$, Y.~P.~Guo$^{9,f}$, A.~Guskov$^{29,a}$, T.~T.~Han$^{41}$, W.~Y.~Han$^{32}$, X.~Q.~Hao$^{16}$, F.~A.~Harris$^{56}$, K.~L.~He$^{1,54}$, F.~H.~Heinsius$^{4}$, C.~H.~Heinz$^{28}$, T.~Held$^{4}$, Y.~K.~Heng$^{1,49,54}$, C.~Herold$^{51}$, M.~Himmelreich$^{11,d}$, T.~Holtmann$^{4}$, G.~Y.~Hou$^{1,54}$, Y.~R.~Hou$^{54}$, Z.~L.~Hou$^{1}$, H.~M.~Hu$^{1,54}$, J.~F.~Hu$^{47,j}$, T.~Hu$^{1,49,54}$, Y.~Hu$^{1}$, G.~S.~Huang$^{63,49}$, L.~Q.~Huang$^{64}$, X.~T.~Huang$^{41}$, Y.~P.~Huang$^{1}$, Z.~Huang$^{38,h}$, T.~Hussain$^{65}$, N~H\"usken$^{22,28}$, W.~Ikegami Andersson$^{67}$, W.~Imoehl$^{22}$, M.~Irshad$^{63,49}$, S.~Jaeger$^{4}$, S.~Janchiv$^{26}$, Q.~Ji$^{1}$, Q.~P.~Ji$^{16}$, X.~B.~Ji$^{1,54}$, X.~L.~Ji$^{1,49}$, Y.~Y.~Ji$^{41}$, H.~B.~Jiang$^{41}$, X.~S.~Jiang$^{1,49,54}$, J.~B.~Jiao$^{41}$, Z.~Jiao$^{18}$, S.~Jin$^{35}$, Y.~Jin$^{57}$, M.~Q.~Jing$^{1,54}$, T.~Johansson$^{67}$, N.~Kalantar-Nayestanaki$^{55}$, X.~S.~Kang$^{33}$, R.~Kappert$^{55}$, M.~Kavatsyuk$^{55}$, B.~C.~Ke$^{43,1}$, I.~K.~Keshk$^{4}$, A.~Khoukaz$^{60}$, P. ~Kiese$^{28}$, R.~Kiuchi$^{1}$, R.~Kliemt$^{11}$, L.~Koch$^{30}$, O.~B.~Kolcu$^{53A,m}$, B.~Kopf$^{4}$, M.~Kuemmel$^{4}$, M.~Kuessner$^{4}$, A.~Kupsc$^{67}$, M.~ G.~Kurth$^{1,54}$, W.~K\"uhn$^{30}$, J.~J.~Lane$^{58}$, J.~S.~Lange$^{30}$, P. ~Larin$^{15}$, A.~Lavania$^{21}$, L.~Lavezzi$^{66A,66C}$, Z.~H.~Lei$^{63,49}$, H.~Leithoff$^{28}$, M.~Lellmann$^{28}$, T.~Lenz$^{28}$, C.~Li$^{39}$, C.~H.~Li$^{32}$, Cheng~Li$^{63,49}$, D.~M.~Li$^{71}$, F.~Li$^{1,49}$, G.~Li$^{1}$, H.~Li$^{43}$, H.~Li$^{63,49}$, H.~B.~Li$^{1,54}$, H.~J.~Li$^{16}$, J.~L.~Li$^{41}$, J.~Q.~Li$^{4}$, J.~S.~Li$^{50}$, Ke~Li$^{1}$, L.~K.~Li$^{1}$, Lei~Li$^{3}$, P.~R.~Li$^{31,k,l}$, S.~Y.~Li$^{52}$, W.~D.~Li$^{1,54}$, W.~G.~Li$^{1}$, X.~H.~Li$^{63,49}$, X.~L.~Li$^{41}$, Xiaoyu~Li$^{1,54}$, Z.~Y.~Li$^{50}$, H.~Liang$^{63,49}$, H.~Liang$^{1,54}$, H.~~Liang$^{27}$, Y.~F.~Liang$^{45}$, Y.~T.~Liang$^{25}$, G.~R.~Liao$^{12}$, L.~Z.~Liao$^{1,54}$, J.~Libby$^{21}$, C.~X.~Lin$^{50}$, B.~J.~Liu$^{1}$, C.~X.~Liu$^{1}$, D.~~Liu$^{15,63}$, F.~H.~Liu$^{44}$, Fang~Liu$^{1}$, Feng~Liu$^{6}$, H.~B.~Liu$^{13}$, H.~M.~Liu$^{1,54}$, Huanhuan~Liu$^{1}$, Huihui~Liu$^{17}$, J.~B.~Liu$^{63,49}$, J.~L.~Liu$^{64}$, J.~Y.~Liu$^{1,54}$, K.~Liu$^{1}$, K.~Y.~Liu$^{33}$, L.~Liu$^{63,49}$, M.~H.~Liu$^{9,f}$, P.~L.~Liu$^{1}$, Q.~Liu$^{54}$, Q.~Liu$^{68}$, S.~B.~Liu$^{63,49}$, Shuai~Liu$^{46}$, T.~Liu$^{1,54}$, W.~M.~Liu$^{63,49}$, X.~Liu$^{31,k,l}$, Y.~Liu$^{31,k,l}$, Y.~B.~Liu$^{36}$, Z.~A.~Liu$^{1,49,54}$, Z.~Q.~Liu$^{41}$, X.~C.~Lou$^{1,49,54}$, F.~X.~Lu$^{50}$, H.~J.~Lu$^{18}$, J.~D.~Lu$^{1,54}$, J.~G.~Lu$^{1,49}$, X.~L.~Lu$^{1}$, Y.~Lu$^{1}$, Y.~P.~Lu$^{1,49}$, C.~L.~Luo$^{34}$, M.~X.~Luo$^{70}$, P.~W.~Luo$^{50}$, T.~Luo$^{9,f}$, X.~L.~Luo$^{1,49}$, X.~R.~Lyu$^{54}$, F.~C.~Ma$^{33}$, H.~L.~Ma$^{1}$, L.~L. ~Ma$^{41}$, M.~M.~Ma$^{1,54}$, Q.~M.~Ma$^{1}$, R.~Q.~Ma$^{1,54}$, R.~T.~Ma$^{54}$, X.~X.~Ma$^{1,54}$, X.~Y.~Ma$^{1,49}$, F.~E.~Maas$^{15}$, M.~Maggiora$^{66A,66C}$, S.~Maldaner$^{4}$, S.~Malde$^{61}$, Q.~A.~Malik$^{65}$, A.~Mangoni$^{23B}$, Y.~J.~Mao$^{38,h}$, Z.~P.~Mao$^{1}$, S.~Marcello$^{66A,66C}$, Z.~X.~Meng$^{57}$, J.~G.~Messchendorp$^{55}$, G.~Mezzadri$^{24A}$, T.~J.~Min$^{35}$, R.~E.~Mitchell$^{22}$, X.~H.~Mo$^{1,49,54}$, Y.~J.~Mo$^{6}$, N.~Yu.~Muchnoi$^{10,b}$, H.~Muramatsu$^{59}$, S.~Nakhoul$^{11,d}$, Y.~Nefedov$^{29}$, F.~Nerling$^{11,d}$, I.~B.~Nikolaev$^{10,b}$, Z.~Ning$^{1,49}$, S.~Nisar$^{8,g}$, Q.~Ouyang$^{1,49,54}$, S.~Pacetti$^{23B,23C}$, X.~Pan$^{9,f}$, Y.~Pan$^{58}$, A.~Pathak$^{1}$, A.~~Pathak$^{27}$, P.~Patteri$^{23A}$, M.~Pelizaeus$^{4}$, H.~P.~Peng$^{63,49}$, K.~Peters$^{11,d}$, J.~Pettersson$^{67}$, J.~L.~Ping$^{34}$, R.~G.~Ping$^{1,54}$, S.~Pogodin$^{29}$, R.~Poling$^{59}$, V.~Prasad$^{63,49}$, H.~Qi$^{63,49}$, H.~R.~Qi$^{52}$, K.~H.~Qi$^{25}$, M.~Qi$^{35}$, T.~Y.~Qi$^{9}$, S.~Qian$^{1,49}$, W.~B.~Qian$^{54}$, Z.~Qian$^{50}$, C.~F.~Qiao$^{54}$, L.~Q.~Qin$^{12}$, X.~P.~Qin$^{9}$, X.~S.~Qin$^{41}$, Z.~H.~Qin$^{1,49}$, J.~F.~Qiu$^{1}$, S.~Q.~Qu$^{36}$, K.~H.~Rashid$^{65}$, K.~Ravindran$^{21}$, C.~F.~Redmer$^{28}$, A.~Rivetti$^{66C}$, V.~Rodin$^{55}$, M.~Rolo$^{66C}$, G.~Rong$^{1,54}$, Ch.~Rosner$^{15}$, M.~Rump$^{60}$, H.~S.~Sang$^{63}$, A.~Sarantsev$^{29,c}$, Y.~Schelhaas$^{28}$, C.~Schnier$^{4}$, K.~Schoenning$^{67}$, M.~Scodeggio$^{24A,24B}$, D.~C.~Shan$^{46}$, W.~Shan$^{19}$, X.~Y.~Shan$^{63,49}$, J.~F.~Shangguan$^{46}$, M.~Shao$^{63,49}$, C.~P.~Shen$^{9}$, H.~F.~Shen$^{1,54}$, P.~X.~Shen$^{36}$, X.~Y.~Shen$^{1,54}$, H.~C.~Shi$^{63,49}$, R.~S.~Shi$^{1,54}$, X.~Shi$^{1,49}$, X.~D~Shi$^{63,49}$, J.~J.~Song$^{41}$, W.~M.~Song$^{27,1}$, Y.~X.~Song$^{38,h}$, S.~Sosio$^{66A,66C}$, S.~Spataro$^{66A,66C}$, K.~X.~Su$^{68}$, P.~P.~Su$^{46}$, F.~F. ~Sui$^{41}$, G.~X.~Sun$^{1}$, H.~K.~Sun$^{1}$, J.~F.~Sun$^{16}$, L.~Sun$^{68}$, S.~S.~Sun$^{1,54}$, T.~Sun$^{1,54}$, W.~Y.~Sun$^{27}$, W.~Y.~Sun$^{34}$, X~Sun$^{20,i}$, Y.~J.~Sun$^{63,49}$, Y.~K.~Sun$^{63,49}$, Y.~Z.~Sun$^{1}$, Z.~T.~Sun$^{1}$, Y.~H.~Tan$^{68}$, Y.~X.~Tan$^{63,49}$, C.~J.~Tang$^{45}$, G.~Y.~Tang$^{1}$, J.~Tang$^{50}$, J.~X.~Teng$^{63,49}$, V.~Thoren$^{67}$, W.~H.~Tian$^{43}$, Y.~T.~Tian$^{25}$, I.~Uman$^{53B}$, B.~Wang$^{1}$, C.~W.~Wang$^{35}$, D.~Y.~Wang$^{38,h}$, H.~J.~Wang$^{31,k,l}$, H.~P.~Wang$^{1,54}$, K.~Wang$^{1,49}$, L.~L.~Wang$^{1}$, M.~Wang$^{41}$, M.~Z.~Wang$^{38,h}$, Meng~Wang$^{1,54}$, W.~Wang$^{50}$, W.~H.~Wang$^{68}$, W.~P.~Wang$^{63,49}$, X.~Wang$^{38,h}$, X.~F.~Wang$^{31,k,l}$, X.~L.~Wang$^{9,f}$, Y.~Wang$^{50}$, Y.~Wang$^{63,49}$, Y.~D.~Wang$^{37}$, Y.~F.~Wang$^{1,49,54}$, Y.~Q.~Wang$^{1}$, Y.~Y.~Wang$^{31,k,l}$, Z.~Wang$^{1,49}$, Z.~Y.~Wang$^{1}$, Ziyi~Wang$^{54}$, Zongyuan~Wang$^{1,54}$, D.~H.~Wei$^{12}$, F.~Weidner$^{60}$, S.~P.~Wen$^{1}$, D.~J.~White$^{58}$, U.~Wiedner$^{4}$, G.~Wilkinson$^{61}$, M.~Wolke$^{67}$, L.~Wollenberg$^{4}$, J.~F.~Wu$^{1,54}$, L.~H.~Wu$^{1}$, L.~J.~Wu$^{1,54}$, X.~Wu$^{9,f}$, Z.~Wu$^{1,49}$, L.~Xia$^{63,49}$, H.~Xiao$^{9,f}$, S.~Y.~Xiao$^{1}$, Z.~J.~Xiao$^{34}$, X.~H.~Xie$^{38,h}$, Y.~G.~Xie$^{1,49}$, Y.~H.~Xie$^{6}$, T.~Y.~Xing$^{1,54}$, G.~F.~Xu$^{1}$, Q.~J.~Xu$^{14}$, W.~Xu$^{1,54}$, X.~P.~Xu$^{46}$, Y.~C.~Xu$^{54}$, F.~Yan$^{9,f}$, L.~Yan$^{9,f}$, W.~B.~Yan$^{63,49}$, W.~C.~Yan$^{71}$, Xu~Yan$^{46}$, H.~J.~Yang$^{42,e}$, H.~X.~Yang$^{1}$, L.~Yang$^{43}$, S.~L.~Yang$^{54}$, Y.~X.~Yang$^{12}$, Yifan~Yang$^{1,54}$, Zhi~Yang$^{25}$, M.~Ye$^{1,49}$, M.~H.~Ye$^{7}$, J.~H.~Yin$^{1}$, Z.~Y.~You$^{50}$, B.~X.~Yu$^{1,49,54}$, C.~X.~Yu$^{36}$, G.~Yu$^{1,54}$, J.~S.~Yu$^{20,i}$, T.~Yu$^{64}$, C.~Z.~Yuan$^{1,54}$, L.~Yuan$^{2}$, X.~Q.~Yuan$^{38,h}$, Y.~Yuan$^{1}$, Z.~Y.~Yuan$^{50}$, C.~X.~Yue$^{32}$, A.~A.~Zafar$^{65}$, X.~Zeng~Zeng$^{6}$, Y.~Zeng$^{20,i}$, A.~Q.~Zhang$^{1}$, B.~X.~Zhang$^{1}$, Guangyi~Zhang$^{16}$, H.~Zhang$^{63}$, H.~H.~Zhang$^{50}$, H.~H.~Zhang$^{27}$, H.~Y.~Zhang$^{1,49}$, J.~J.~Zhang$^{43}$, J.~L.~Zhang$^{69}$, J.~Q.~Zhang$^{34}$, J.~W.~Zhang$^{1,49,54}$, J.~Y.~Zhang$^{1}$, J.~Z.~Zhang$^{1,54}$, Jianyu~Zhang$^{1,54}$, Jiawei~Zhang$^{1,54}$, L.~M.~Zhang$^{52}$, L.~Q.~Zhang$^{50}$, Lei~Zhang$^{35}$, S.~Zhang$^{50}$, S.~F.~Zhang$^{35}$, Shulei~Zhang$^{20,i}$, X.~D.~Zhang$^{37}$, X.~Y.~Zhang$^{41}$, Y.~Zhang$^{61}$, Y. ~T.~Zhang$^{71}$, Y.~H.~Zhang$^{1,49}$, Yan~Zhang$^{63,49}$, Yao~Zhang$^{1}$, Z.~H.~Zhang$^{6}$, Z.~Y.~Zhang$^{68}$, G.~Zhao$^{1}$, J.~Zhao$^{32}$, J.~Y.~Zhao$^{1,54}$, J.~Z.~Zhao$^{1,49}$, Lei~Zhao$^{63,49}$, Ling~Zhao$^{1}$, M.~G.~Zhao$^{36}$, Q.~Zhao$^{1}$, S.~J.~Zhao$^{71}$, Y.~B.~Zhao$^{1,49}$, Y.~X.~Zhao$^{25}$, Z.~G.~Zhao$^{63,49}$, A.~Zhemchugov$^{29,a}$, B.~Zheng$^{64}$, J.~P.~Zheng$^{1,49}$, Y.~Zheng$^{38,h}$, Y.~H.~Zheng$^{54}$, B.~Zhong$^{34}$, C.~Zhong$^{64}$, L.~P.~Zhou$^{1,54}$, Q.~Zhou$^{1,54}$, X.~Zhou$^{68}$, X.~K.~Zhou$^{54}$, X.~R.~Zhou$^{63,49}$, X.~Y.~Zhou$^{32}$, A.~N.~Zhu$^{1,54}$, J.~Zhu$^{36}$, K.~Zhu$^{1}$, K.~J.~Zhu$^{1,49,54}$, S.~H.~Zhu$^{62}$, T.~J.~Zhu$^{69}$, W.~J.~Zhu$^{36}$, W.~J.~Zhu$^{9,f}$, Y.~C.~Zhu$^{63,49}$, Z.~A.~Zhu$^{1,54}$, B.~S.~Zou$^{1}$, J.~H.~Zou$^{1}$
\\
\vspace{0.2cm}
(BESIII Collaboration)\\
\vspace{0.2cm} {\it
$^{1}$ Institute of High Energy Physics, Beijing 100049, People's Republic of China\\
$^{2}$ Beihang University, Beijing 100191, People's Republic of China\\
$^{3}$ Beijing Institute of Petrochemical Technology, Beijing 102617, People's Republic of China\\
$^{4}$ Bochum Ruhr-University, D-44780 Bochum, Germany\\
$^{5}$ Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA\\
$^{6}$ Central China Normal University, Wuhan 430079, People's Republic of China\\
$^{7}$ China Center of Advanced Science and Technology, Beijing 100190, People's Republic of China\\
$^{8}$ COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, 54000 Lahore, Pakistan\\
$^{9}$ Fudan University, Shanghai 200443, People's Republic of China\\
$^{10}$ G.I. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia\\
$^{11}$ GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291 Darmstadt, Germany\\
$^{12}$ Guangxi Normal University, Guilin 541004, People's Republic of China\\
$^{13}$ Guangxi University, Nanning 530004, People's Republic of China\\
$^{14}$ Hangzhou Normal University, Hangzhou 310036, People's Republic of China\\
$^{15}$ Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany\\
$^{16}$ Henan Normal University, Xinxiang 453007, People's Republic of China\\
$^{17}$ Henan University of Science and Technology, Luoyang 471003, People's Republic of China\\
$^{18}$ Huangshan College, Huangshan 245000, People's Republic of China\\
$^{19}$ Hunan Normal University, Changsha 410081, People's Republic of China\\
$^{20}$ Hunan University, Changsha 410082, People's Republic of China\\
$^{21}$ Indian Institute of Technology Madras, Chennai 600036, India\\
$^{22}$ Indiana University, Bloomington, Indiana 47405, USA\\
$^{23}$ INFN Laboratori Nazionali di Frascati , (A)INFN Laboratori Nazionali di Frascati, I-00044, Frascati, Italy; (B)INFN Sezione di Perugia, I-06100, Perugia, Italy; (C)University of Perugia, I-06100, Perugia, Italy\\
$^{24}$ INFN Sezione di Ferrara, (A)INFN Sezione di Ferrara, I-44122, Ferrara, Italy; (B)University of Ferrara, I-44122, Ferrara, Italy\\
$^{25}$ Institute of Modern Physics, Lanzhou 730000, People's Republic of China\\
$^{26}$ Institute of Physics and Technology, Peace Ave. 54B, Ulaanbaatar 13330, Mongolia\\
$^{27}$ Jilin University, Changchun 130012, People's Republic of China\\
$^{28}$ Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany\\
$^{29}$ Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia\\
$^{30}$ Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany\\
$^{31}$ Lanzhou University, Lanzhou 730000, People's Republic of China\\
$^{32}$ Liaoning Normal University, Dalian 116029, People's Republic of China\\
$^{33}$ Liaoning University, Shenyang 110036, People's Republic of China\\
$^{34}$ Nanjing Normal University, Nanjing 210023, People's Republic of China\\
$^{35}$ Nanjing University, Nanjing 210093, People's Republic of China\\
$^{36}$ Nankai University, Tianjin 300071, People's Republic of China\\
$^{37}$ North China Electric Power University, Beijing 102206, People's Republic of China\\
$^{38}$ Peking University, Beijing 100871, People's Republic of China\\
$^{39}$ Qufu Normal University, Qufu 273165, People's Republic of China\\
$^{40}$ Shandong Normal University, Jinan 250014, People's Republic of China\\
$^{41}$ Shandong University, Jinan 250100, People's Republic of China\\
$^{42}$ Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China\\
$^{43}$ Shanxi Normal University, Linfen 041004, People's Republic of China\\
$^{44}$ Shanxi University, Taiyuan 030006, People's Republic of China\\
$^{45}$ Sichuan University, Chengdu 610064, People's Republic of China\\
$^{46}$ Soochow University, Suzhou 215006, People's Republic of China\\
$^{47}$ South China Normal University, Guangzhou 510006, People's Republic of China\\
$^{48}$ Southeast University, Nanjing 211100, People's Republic of China\\
$^{49}$ State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People's Republic of China\\
$^{50}$ Sun Yat-Sen University, Guangzhou 510275, People's Republic of China\\
$^{51}$ Suranaree University of Technology, University Avenue 111, Nakhon Ratchasima 30000, Thailand\\
$^{52}$ Tsinghua University, Beijing 100084, People's Republic of China\\
$^{53}$ Turkish Accelerator Center Particle Factory Group, (A)Istanbul Bilgi University, HEP Res. Cent., 34060 Eyup, Istanbul, Turkey; (B)Near East University, Nicosia, North Cyprus, Mersin 10, Turkey\\
$^{54}$ University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China\\
$^{55}$ University of Groningen, NL-9747 AA Groningen, The Netherlands\\
$^{56}$ University of Hawaii, Honolulu, Hawaii 96822, USA\\
$^{57}$ University of Jinan, Jinan 250022, People's Republic of China\\
$^{58}$ University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom\\
$^{59}$ University of Minnesota, Minneapolis, Minnesota 55455, USA\\
$^{60}$ University of Muenster, Wilhelm-Klemm-Str. 9, 48149 Muenster, Germany\\
$^{61}$ University of Oxford, Keble Rd, Oxford, UK OX13RH\\
$^{62}$ University of Science and Technology Liaoning, Anshan 114051, People's Republic of China\\
$^{63}$ University of Science and Technology of China, Hefei 230026, People's Republic of China\\
$^{64}$ University of South China, Hengyang 421001, People's Republic of China\\
$^{65}$ University of the Punjab, Lahore-54590, Pakistan\\
$^{66}$ University of Turin and INFN, (A)University of Turin, I-10125, Turin, Italy; (B)University of Eastern Piedmont, I-15121, Alessandria, Italy; (C)INFN, I-10125, Turin, Italy\\
$^{67}$ Uppsala University, Box 516, SE-75120 Uppsala, Sweden\\
$^{68}$ Wuhan University, Wuhan 430072, People's Republic of China\\
$^{69}$ Xinyang Normal University, Xinyang 464000, People's Republic of China\\
$^{70}$ Zhejiang University, Hangzhou 310027, People's Republic of China\\
$^{71}$ Zhengzhou University, Zhengzhou 450001, People's Republic of China\\
\vspace{0.2cm}
$^{a}$ Also at the Moscow Institute of Physics and Technology, Moscow 141700, Russia\\
$^{b}$ Also at the Novosibirsk State University, Novosibirsk, 630090, Russia\\
$^{c}$ Also at the NRC "Kurchatov Institute", PNPI, 188300, Gatchina, Russia\\
$^{d}$ Also at Goethe University Frankfurt, 60323 Frankfurt am Main, Germany\\
$^{e}$ Also at Key Laboratory for Particle Physics, Astrophysics and Cosmology, Ministry of Education; Shanghai Key Laboratory for Particle Physics and Cosmology; Institute of Nuclear and Particle Physics, Shanghai 200240, People's Republic of China\\
$^{f}$ Also at Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai 200443, People's Republic of China\\
$^{g}$ Also at Harvard University, Department of Physics, Cambridge, MA, 02138, USA\\
$^{h}$ Also at State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, People's Republic of China\\
$^{i}$ Also at School of Physics and Electronics, Hunan University, Changsha 410082, China\\
$^{j}$ Also at Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China\\
$^{k}$ Also at Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, People's Republic of China\\
$^{l}$ Also at Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, People's Republic of China\\
$^{m}$ Currently at Istinye University, 34010 Istanbul, Turkey\\
}
}% End of Author List
\pacs{13.25.Ft, 13.20.-v}

\maketitle

\section{Efficiency-Corrected Yields}

\begin{table}[h!]
\centering{
\begin{tabular}{c|c}
$p_e$ (MeV/$c$) & $N_{DT,Xe^+\nu_e}$\tabularnewline \hline
200 - 250    & $1064 \pm 115$ \tabularnewline\hline
250 - 300    & $1261 \pm 106$ \tabularnewline\hline
300 - 350    & $1540 \pm 99$ \tabularnewline\hline
350 - 400    & $1482 \pm 93$ \tabularnewline\hline
400 - 450    & $1762 \pm 90$ \tabularnewline\hline
450 - 500    & $1713 \pm 88$ \tabularnewline\hline
500 - 550    & $1468 \pm 82$ \tabularnewline\hline
550 - 600    & $1294 \pm 76$ \tabularnewline\hline
600 - 650    & $1130 \pm 72$ \tabularnewline\hline
650 - 700    & $829 \pm 62$ \tabularnewline\hline
700 - 750    & $526 \pm 51$ \tabularnewline\hline
750 - 800    & $457 \pm 44$ \tabularnewline\hline
800 - 850    & $280 \pm 38$  \tabularnewline\hline
850 - 900    & $184 \pm 31$  \tabularnewline\hline
900 - 950    & $132 \pm 27$  \tabularnewline\hline
950 - 1000   & $52 \pm 19$  \tabularnewline\hline
1000 - 1050  & $24 \pm 14$    \tabularnewline\hline
1050 - 1100  & $2 \pm 6$    \tabularnewline\hline
\end{tabular}
}
 \caption{Efficiency-corrected and background subtracted yields ($N_{DT,Xe^+\nu_e}$) with statistical errors as a function of $e^+$ momentum.}
\label{table:Yields}
\end{table}

\section{Double-tag Fits}
\label{sec:DataFits}
The following section contains the results of the double-tag fits in which the observed $\Ds\to X e^+$,$\Ds\to X \pi^+$, and $\Ds\to X K^+$  yields are determined for each sign hypothesis and momentum bin. In each plot, the solid blue line is the result of the total fit, the dashed red line is the fitted distribution of non-$D_s^-\to K^+K^-\pi^-$ backgrounds, the dotted black line is the fitted signal distribution, the filled red histogram is the MC simulation-predicted contributions from backgrounds, and the black points are data. Binning is arbitrary and used solely for display.
\subsection{$\EcmA$ Double-tag Fits}
\label{subsec:4180DataFits}
\subsubsection{$\EcmA$ Data $e$ ID Fits}
\label{subsubsec:4180DataEIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_200_250_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_200_250_EID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_250_300_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_250_300_EID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_300_350_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_300_350_EID_ws.pdf}
\end{tabular}
\begin{tabular}{cc}
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_350_400_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_350_400_EID_ws.pdf}\\
\end{tabular}
\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_400_450_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_400_450_EID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_450_500_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_450_500_EID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_500_550_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_500_550_EID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_550_600_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_550_600_EID_ws.pdf}\\
\end{tabular}
\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_600_650_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_600_650_EID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_650_700_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_650_700_EID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_700_750_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_700_750_EID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_750_800_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_750_800_EID_ws.pdf}\\
\end{tabular}
\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_800_850_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_800_850_EID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_850_900_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_850_900_EID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_900_950_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_900_950_EID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_950_1000_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4180_data_Barrel_950_1000_EID_ws.pdf}\\
\end{tabular}


\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/4180_data_Barrel_1000_1050_EID.pdf} & No entries are seen in the signal region\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/4180_data_Barrel_1050_1100_EID.pdf} & No entries are seen in the signal region
\end{tabular}
\pagebreak
%\addtocounter{page}{-1}
\raggedright

\subsubsection{$\EcmA$ Data $\pi$ ID Fits}
\label{subsubsec:4180DataPiIDFits}

\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_200_250_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_200_250_PiID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_250_300_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_250_300_PiID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_300_350_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_300_350_PiID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_350_400_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_350_400_PiID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_400_450_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_400_450_PiID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_450_500_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_450_500_PiID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_500_550_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_500_550_PiID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_550_600_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_550_600_PiID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_600_650_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_600_650_PiID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_650_700_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_650_700_PiID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_700_750_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_700_750_PiID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_750_800_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_750_800_PiID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_800_850_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_800_850_PiID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_850_900_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_850_900_PiID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_900_950_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_900_950_PiID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_950_1000_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_950_1000_PiID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_1000_1050_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_1000_1050_PiID_ws.pdf}\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_1050_1100_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4180_data_Barrel_1050_1100_PiID_ws.pdf}
\end{tabular}

\pagebreak
%\addtocounter{page}{-1}
\raggedright


\subsubsection{$\EcmA$ Data $K$ ID Fits}
\label{subsubsec:4180DataKIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_200_250_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_200_250_KID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_250_300_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_250_300_KID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_300_350_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_300_350_KID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_350_400_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_350_400_KID_ws.pdf}
\end{tabular}
\pagebreak

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_400_450_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_400_450_KID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_450_500_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_450_500_KID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_500_550_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_500_550_KID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_550_600_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_550_600_KID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_600_650_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_600_650_KID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_650_700_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_650_700_KID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_700_750_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_700_750_KID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_750_800_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_750_800_KID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_800_850_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_800_850_KID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_850_900_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_850_900_KID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_900_950_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_900_950_KID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_950_1000_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_950_1000_KID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_1000_1050_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_1000_1050_KID_ws.pdf}\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_1050_1100_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4180_data_Barrel_1050_1100_KID_ws.pdf}
\end{tabular}

\pagebreak
%\addtocounter{page}{-1}
\raggedright

\subsection{$\EcmB$ Double-tag Fits }
\label{subsec:XYZDataFits}
\subsubsection{$\EcmB$ Data $e$ ID Fits}
\label{subsubsec:XYZDataEIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_200_250_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_200_250_EID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_250_300_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_250_300_EID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_300_350_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_300_350_EID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_350_400_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_350_400_EID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_400_450_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_400_450_EID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_450_500_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_450_500_EID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_500_550_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_500_550_EID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_550_600_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_550_600_EID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_600_650_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_600_650_EID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_650_700_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_650_700_EID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_700_750_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_700_750_EID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_750_800_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_750_800_EID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_800_850_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_800_850_EID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_850_900_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_850_900_EID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_900_950_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/XYZ_data_Barrel_900_950_EID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/XYZ_data_Barrel_950_1000_EID.pdf} & No entries are seen in the signal region\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/XYZ_data_Barrel_1000_1050_EID.pdf} & No entries are seen in the signal region\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/XYZ_data_Barrel_1050_1100_EID.pdf} & No entries are seen in the signal region
\end{tabular}

\pagebreak
%\addtocounter{page}{-1}
\raggedright

\subsubsection{$\EcmB$ Data $\pi$ ID Fits}
\label{subsubsec:XYZDataPiIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_200_250_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_200_250_PiID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_250_300_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_250_300_PiID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_300_350_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_300_350_PiID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_350_400_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_350_400_PiID_ws.pdf}
\end{tabular}
\pagebreak

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_400_450_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_400_450_PiID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_450_500_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_450_500_PiID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_500_550_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_500_550_PiID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_550_600_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_550_600_PiID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_600_650_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_600_650_PiID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_650_700_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_650_700_PiID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_700_750_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_700_750_PiID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_750_800_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_750_800_PiID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_800_850_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_800_850_PiID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_850_900_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_850_900_PiID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_900_950_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_900_950_PiID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_950_1000_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_950_1000_PiID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_1000_1050_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_1000_1050_PiID_ws.pdf}\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_1050_1100_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/XYZ_data_Barrel_1050_1100_PiID_ws.pdf}
\end{tabular}

\pagebreak
%\addtocounter{page}{-1}
\raggedright

\subsubsection{$\EcmB$ Data $K$ ID Fits}
\label{subsubsec:XYZDataKIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_200_250_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_200_250_KID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_250_300_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_250_300_KID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_300_350_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_300_350_KID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_350_400_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_350_400_KID_ws.pdf}
\end{tabular}
\pagebreak

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_400_450_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_400_450_KID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_450_500_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_450_500_KID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_500_550_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_500_550_KID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_550_600_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_550_600_KID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_600_650_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_600_650_KID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_650_700_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_650_700_KID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_700_750_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_700_750_KID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_750_800_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_750_800_KID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_800_850_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_800_850_KID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_850_900_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_850_900_KID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_900_950_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_900_950_KID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_950_1000_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_950_1000_KID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_1000_1050_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_1000_1050_KID_ws.pdf}\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_1050_1100_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/XYZ_data_Barrel_1050_1100_KID_ws.pdf}
\end{tabular}

\pagebreak
%\addtocounter{page}{-1}
\raggedright

\subsection{$\EcmC$ Data Sample}
\label{subsec:4230DataFits}
\subsubsection{$\EcmC$ Data $e$ ID Fits}
\label{subsubsec:4230DataEIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_200_250_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_200_250_EID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_250_300_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_250_300_EID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_300_350_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_300_350_EID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_350_400_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_350_400_EID_ws.pdf}
\end{tabular}
\pagebreak

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_400_450_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_400_450_EID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_450_500_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_450_500_EID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_500_550_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_500_550_EID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_550_600_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_550_600_EID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_600_650_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_600_650_EID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_650_700_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_650_700_EID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_700_750_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_700_750_EID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_750_800_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_750_800_EID_ws.pdf}\\
\end{tabular}


\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_800_850_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_800_850_EID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_850_900_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_850_900_EID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_900_950_EID.pdf} & \includegraphics[width=3in]{fit_figures/EID/4230_data_Barrel_900_950_EID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/4230_data_Barrel_950_1000_EID.pdf} & No entries are seen in the signal region\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/4230_data_Barrel_1000_1050_EID.pdf} & No entries are seen in the signal region\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in,valign=m]{fit_figures/EID/4230_data_Barrel_1050_1100_EID.pdf} & No entries are seen in the signal region
\end{tabular}

\pagebreak
%\addtocounter{page}{-1}
\raggedright

\subsubsection{$\EcmC$ Data $\pi$ ID Fits}
\label{subsubsec:4230DataPiIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_200_250_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_200_250_PiID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_250_300_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_250_300_PiID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_300_350_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_300_350_PiID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_350_400_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_350_400_PiID_ws.pdf}
\end{tabular}
\pagebreak

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_400_450_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_400_450_PiID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_450_500_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_450_500_PiID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_500_550_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_500_550_PiID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_550_600_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_550_600_PiID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_600_650_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_600_650_PiID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_650_700_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_650_700_PiID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_700_750_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_700_750_PiID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_750_800_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_750_800_PiID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_800_850_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_800_850_PiID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_850_900_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_850_900_PiID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_900_950_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_900_950_PiID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_950_1000_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_950_1000_PiID_ws.pdf}\\

\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_1000_1050_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_1000_1050_PiID_ws.pdf}\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_1050_1100_PiID.pdf} & \includegraphics[width=3in]{fit_figures/PiID/4230_data_Barrel_1050_1100_PiID_ws.pdf}
\end{tabular}

\pagebreak
%\addtocounter{page}{-1}
\raggedright

\subsubsection{$\EcmC$ Data $K$ ID Fits}
\label{subsubsec:4230DataKIDFits}
\centering
\begin{tabular}{cc}
\textbf{RS 200-250 MeV/$c$} & \textbf{WS 200-250 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_200_250_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_200_250_KID_ws.pdf}\\
\textbf{RS 250-300 MeV/$c$} & \textbf{WS 250-300 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_250_300_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_250_300_KID_ws.pdf}\\
\textbf{RS 300-350 MeV/$c$} & \textbf{WS 300-350 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_300_350_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_300_350_KID_ws.pdf}\\
\textbf{RS 350-400 MeV/$c$} & \textbf{WS 350-400 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_350_400_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_350_400_KID_ws.pdf}
\end{tabular}
\pagebreak

\begin{tabular}{cc}
\textbf{RS 400-450 MeV/$c$} & \textbf{WS 400-450 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_400_450_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_400_450_KID_ws.pdf}\\
\textbf{RS 450-500 MeV/$c$} & \textbf{WS 450-500 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_450_500_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_450_500_KID_ws.pdf}\\
\textbf{RS 500-550 MeV/$c$} & \textbf{WS 500-550 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_500_550_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_500_550_KID_ws.pdf}\\
\textbf{RS 550-600 MeV/$c$} & \textbf{WS 550-600 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_550_600_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_550_600_KID_ws.pdf}
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 600-650 MeV/$c$} & \textbf{WS 600-650 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_600_650_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_600_650_KID_ws.pdf}\\
\textbf{RS 650-700 MeV/$c$} & \textbf{WS 650-700 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_650_700_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_650_700_KID_ws.pdf}\\
\textbf{RS 700-750 MeV/$c$} & \textbf{WS 700-750 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_700_750_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_700_750_KID_ws.pdf}\\
\textbf{RS 750-800 MeV/$c$} & \textbf{WS 750-800 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_750_800_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_750_800_KID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 800-850 MeV/$c$} & \textbf{WS 800-850 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_800_850_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_800_850_KID_ws.pdf}\\
\textbf{RS 850-900 MeV/$c$} & \textbf{WS 850-900 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_850_900_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_850_900_KID_ws.pdf}\\
\textbf{RS 900-950 MeV/$c$} & \textbf{WS 900-950 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_900_950_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_900_950_KID_ws.pdf}\\
\textbf{RS 950-1000 MeV/$c$} & \textbf{WS 950-1000 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_950_1000_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_950_1000_KID_ws.pdf}\\
\end{tabular}

\begin{tabular}{cc}
\textbf{RS 1000-1050 MeV/$c$} & \textbf{WS 1000-1050 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_1000_1050_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_1000_1050_KID_ws.pdf}\\
\textbf{RS 1050-1100 MeV/$c$} & \textbf{WS 1050-1100 MeV/$c$}\\
\includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_1050_1100_KID.pdf} & \includegraphics[width=3in]{fit_figures/KID/4230_data_Barrel_1050_1100_KID_ws.pdf}
\end{tabular}

\end{document}

