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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

classification hep-phhep-lat
keywords smomgaugeoperatorsrenormalizationschemesymmetricthree-quarkallows
verification ladder T0 review T1 audit T2 compute T3 formal

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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 $\bar{\rm MS}$ 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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Updated baryon light-cone distribution amplitude moments are presented using two-loop conversion factors and new low-energy constants; the two-loop anomalous dimensions for one-derivative three-quark operators are com...

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

    hep-lat 2026-07 conditional novelty 4.0 of 10

    A review of high-order RI'/SMOM-to-MS matching factors for lattice QCD bilinear and three-quark operators, including unpublished N=1 results.

  3. Baryon Number Violation: From Nuclear Matrix Elements to BSM Physics

    hep-ph 2025-04 unverdicted novelty 2.0 of 10

    A workshop report that maps the current experimental and theoretical landscape for baryon number violation, from proton decay and neutron-antineutron oscillation searches to the EFT, lattice QCD, and astrophysical con...

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