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RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
Abstract
We review perturbative matching between the regularization-invariant symmetric MOM (RI/SMOM) and MS schemes at the symmetric subtraction point, which is relevant for lattice QCD simulations. For bilinear operators we summarize three-loop conversion factors for local quark currents and for the n=2,3 twist-two moments of structure functions. For three-quark operators we summarize two-loop RI/SMOM matching for N=0 baryonic operators and three-loop anomalous dimensions together with two-loop matching for the N=1 Mellin moment, enabling improved lattice studies of baryon distribution amplitudes. All numerical results quoted here are given in Landau gauge.
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BibTeX
@misc{kniehl2026rismom,
title = {{RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators}},
author = {Bernd A. Kniehl and Oleg L. Veretin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.13750},
eprint = {2607.13750},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.13750},
}
RIS
TY - UNPB
TI - RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
AU - Bernd A. Kniehl
AU - Oleg L. Veretin
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2607.13750
UR - https://arxiv.org/abs/2607.13750
AB - We review perturbative matching between the regularization-invariant symmetric MOM (RI/SMOM) and MS schemes at the symmetric subtraction point, which is relevant for lattice QCD simulations. For bilinear operators we summarize three-loop conversion factors for local quark currents and for the n=2,3 twist-two moments of structure functions. For three-quark operators we summarize two-loop RI/SMOM matching for N=0 baryonic operators and three-loop anomalous dimensions together with two-loop matching for the N=1 Mellin moment, enabling improved lattice studies of baryon distribution amplitudes. All numerical results quoted here are given in Landau gauge.
ER -