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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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 |
work_keys_str_mv |
AT berndakniehl bilinearquarkoperatorsintherismomschemeatthreeloops AT oleglveretin bilinearquarkoperatorsintherismomschemeatthreeloops |
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1724853784555814912 |