Explicit no-$\pi^2$ renormalization schemes in QCD at five loops

J. A. Gracey

Explicit no-$\pi^2$ renormalization schemes in QCD at five loops

High Energy Physics - Phenomenology 2024-01-25 v2

Authors: J. A. Gracey

Abstract

We examine a variety of renormalization schemes in QCD based on its $3$ -point vertices where the $\beta$ -functions, gluon, ghost, quark and quark mass anomalous dimensions in each scheme do not depend on $\zeta_4$ or $\zeta_6$ in an arbitrary linear covariant gauge at five loops. We comment on the $C$ -scheme.

Keywords

anomalous dimensions in qcd non-perturbative renormalization in lattice qcd renormalization in quantum field theory

Cite

@article{arxiv.2311.13484,
  title  = {Explicit no-$\pi^2$ renormalization schemes in QCD at five loops},
  author = {J. A. Gracey},
  journal= {arXiv preprint arXiv:2311.13484},
  year   = {2024}
}

Comments

40 latex pages, anc directory contains electronic version of the renormalization group functions, coupling constant and gauge parameter maps, and the conversion functions for each scheme; label typos corrected in data file

Explicit no-$\pi^2$ renormalization schemes in QCD at five loops

Abstract

Keywords

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