TY  - JOUR
A1  - Alexandrou, Constantia
A1  - Cichy, Krzysztof
A1  - Constantinou, Martha
A1  - Hadjiyiannakou, Kyriakos
A1  - Jansen, Karl
A1  - Panagopoulos, Haralambos
A1  - Steffens, Fernanda
T1  - A complete non-perturbative renormalization prescription for quasi-PDFs
T2  - Nuclear Physics B
N2  - In this work we present, for the first time, the non-perturbative renormalization for the unpolarized, helicity and transversity quasi-PDFs, in an RI′ scheme. The proposed prescription addresses simultaneously all aspects of renormalization: logarithmic divergences, finite renormalization as well as the linear divergence which is present in the matrix elements of fermion operators with Wilson lines. Furthermore, for the case of the unpolarized quasi-PDF, we describe how to eliminate the unwanted mixing with the twist-3 scalar operator.
We utilize perturbation theory for the one-loop conversion factor that brings the renormalization functions to the MS-scheme at a scale of 2 GeV. We also explain how to improve the estimates on the renormalization functions by eliminating lattice artifacts. The latter can be computed in one-loop perturbation theory and to all orders in the lattice spacing.
We apply the methodology for the renormalization to an ensemble of twisted mass fermions with Nf = 2 + 1 + 1 dynamical quarks, and a pion mass of around 375 MeV.
Y1  - 2017
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/44478
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-444787
N1  - This is an open access article under the CC-BY-license(http://creativecommons.org/licenses/by/4.0/).
VL  - 923
SP  - 394
EP  - 415
ER  -