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  • Open Access

Four loop renormalization of three-quark operators in QCD

J. A. Gracey

  • Department of Mathematical Sciences, Theoretical Physics Division, University of Liverpool, P.O. Box 147, Liverpool L69 3BX, United Kingdom

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Phys. Rev. D 113, 065009 – Published 13 March, 2026

DOI: https://doi.org/10.1103/8w47-jmbt

Abstract

We renormalize generalized three-quark operators that relate to baryon states using the method devised by Kränkl and Manashov at four loops in the MS¯ scheme. The anomalous dimensions of the four core operators used to compute nucleon matrix elements are determined and their associated critical exponents are studied in the conformal window using the Banks-Zaks expansion.

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Phys. Rev. D 113, 065009– Published 13 March, 2026
  • Received 7 November 2025
  • Accepted 5 February 2026
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