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

• DOI: 10.1007/jhep01(2022)051
• Publication Date: 2022-01-13T03:03:31Z
• Authors: Joshua Davies; Florian Herren; Anders Eller Thomsen
• Keywords: High Energy Physics - Theory; FOS: Physical sciences; QC770-798; 01 natural sciences; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; Beyond Standard Model; 0103 physical sciences; Renormalization Group; Quark Masses and SM Parameters

Abstract 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.