Volume 521 - Loops and Legs in Quantum Field Theory (LL2026) - Parallel 4B
Two- and three-quark operators of Lorentz spin $N=0,1,2$ at three loops in the RI${}^\prime$SMOM scheme
B. Kniehl* and O. Veretin
*: corresponding author
Full text: pdf
Published on: September 24, 2026
Abstract
We review perturbative matching between the regularization-invariant
symmetric MOM (RI${}'$/SMOM) and $\overline{\rm MS}$ schemes at the symmetric
subtraction point, which is relevant for lattice QCD simulations.
For \emph{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 \emph{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.
DOI: https://doi.org/10.22323/1.521.0077
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