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.

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

References in corpus (8)

• FIRE5: a C++ implementation of Feynman Integral REduction
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Nucleon distribution amplitudes from lattice QCD
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD

Cited by in corpus (2)

• Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
• Baryon Number Violation: From Nuclear Matrix Elements to BSM Physics