General gauge-Yukawa-quartic β-functions at 4-3-2-loop order

Davies, Joshua; Herren, Florian; Thomsen, Anders Eller

doi:10.1007/jhep01(2022)051

Title: General gauge-Yukawa-quartic β-functions at 4-3-2-loop order

Journal Article · 11 January 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep01(2022)051 · OSTI ID:1832797

Davies, Joshua ^[1];

^[2];

^[3]

Univ. of Sussex, Brighton (United Kingdom)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Univ. of Bern (Switzerland). Inst. for Theoretical Physics, Albert Einstein Center for Fundamental Physics

We determine the full set of coefficients for the completely general 4-loop gauge and 3-loop Yukawa β-functions for the most general renormalizable four-dimensional theories. Using a complete parametrization of the β-functions, we compare the general form to the specific β-functions of known theories to constrain the unknown coefficients. The Weyl consistency conditions provide additional constraints, completing the determination.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); STFC

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1832797

Report Number(s):: FERMILAB-PUB--21-471-T; arXiv:2110.05496; oai:inspirehep.net:1942193

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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