Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme

Abstract

We consider the renormalization of the three-quark operators without derivatives at next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the $\overline{\mathrm{MS}}$ scheme and the regularization invariant symmetric MOM (RI/SMOM, RI${}^{\prime }$/SMOM) schemes. The results are presented both analytically in $R_{\xi }$ gauge in terms of a set of master integrals and numerically in Landau gauge. They can be used to reduce the errors in determinations of baryonic distribution amplitudes in lattice QCD simulations.

Comments: 11 pages, 1 figure, full results provided in ancillary files