Bilinear quark operators in the RI/SMOM scheme at three loops

We consider the renormalization of the matrix elements of the bilinear quark operators ψ¯ψ, ψ¯γμψ, and ψ¯σμνψ at next-to-next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the MS‾ scheme and the regularizat...

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Main Authors: Bernd A. Kniehl, Oleg L. Veretin
Format: Article
Language:English
Published: Elsevier 2020-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320302021
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spelling doaj-35fb078001e743d6a311c44dc15d05c22020-11-25T02:24:43ZengElsevierPhysics Letters B0370-26932020-05-01804Bilinear quark operators in the RI/SMOM scheme at three loopsBernd A. Kniehl0Oleg L. Veretin1II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany; Corresponding author.Institut für Theoretische Physik, Universität Regensburg, Universitätsstraße 31, 93040 Regensburg, GermanyWe consider the renormalization of the matrix elements of the bilinear quark operators ψ¯ψ, ψ¯γμψ, and ψ¯σμνψ at next-to-next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the MS‾ scheme and the regularization invariant symmetric momentum subtraction (RI/SMOM) scheme. The obtained results can be used to reduce the errors in determinations of quark masses from lattice QCD simulations. The results are given in Landau gauge. Keywords: Lattice QCD, Bilinear quark operators, MS‾ scheme, Regularization invariant symmetric MOM scheme, Three-loop approximationhttp://www.sciencedirect.com/science/article/pii/S0370269320302021
collection DOAJ
language English
format Article
sources DOAJ
author Bernd A. Kniehl
Oleg L. Veretin
spellingShingle Bernd A. Kniehl
Oleg L. Veretin
Bilinear quark operators in the RI/SMOM scheme at three loops
Physics Letters B
author_facet Bernd A. Kniehl
Oleg L. Veretin
author_sort Bernd A. Kniehl
title Bilinear quark operators in the RI/SMOM scheme at three loops
title_short Bilinear quark operators in the RI/SMOM scheme at three loops
title_full Bilinear quark operators in the RI/SMOM scheme at three loops
title_fullStr Bilinear quark operators in the RI/SMOM scheme at three loops
title_full_unstemmed Bilinear quark operators in the RI/SMOM scheme at three loops
title_sort bilinear quark operators in the ri/smom scheme at three loops
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-05-01
description We consider the renormalization of the matrix elements of the bilinear quark operators ψ¯ψ, ψ¯γμψ, and ψ¯σμνψ at next-to-next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the MS‾ scheme and the regularization invariant symmetric momentum subtraction (RI/SMOM) scheme. The obtained results can be used to reduce the errors in determinations of quark masses from lattice QCD simulations. The results are given in Landau gauge. Keywords: Lattice QCD, Bilinear quark operators, MS‾ scheme, Regularization invariant symmetric MOM scheme, Three-loop approximation
url http://www.sciencedirect.com/science/article/pii/S0370269320302021
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