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

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arxiv 2207.08553 v1 pith:5E4CNVNX submitted 2022-07-18 hep-ph hep-lat

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

classification hep-ph hep-lat
keywords smomgaugeoperatorsrenormalizationschemesymmetricthree-quarkallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\bar{\rm MS}$ scheme and the regularization invariant symmetric MOM (RI/SMOM, RI${}'$/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.

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Cited by 1 Pith paper

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  1. RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators

    hep-lat 2026-07 conditional novelty 4.0

    A review of high-order RI'/SMOM-to-MS matching factors for lattice QCD bilinear and three-quark operators, including unpublished N=1 results.