English

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

High Energy Physics - Phenomenology 2023-06-14 v1 High Energy Physics - Lattice

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 MSˉ\bar{\rm MS} scheme and the regularization invariant symmetric MOM (RI/SMOM, RI{}'/SMOM) schemes. The results are presented both analytically in RξR_\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.

Keywords

Cite

@article{arxiv.2207.08553,
  title  = {Renormalization of three-quark operators at two loops in the RI${}'$/SMOM scheme},
  author = {Bernd A. Kniehl and Oleg L. Veretin},
  journal= {arXiv preprint arXiv:2207.08553},
  year   = {2023}
}

Comments

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