General Quartic β-Function at Three Loops

Abstract:

We determine the three-loop \bar{MS} quartic β-function for the most general renormalisable four-dimensional theories. A general parametrization of the β-function is compared to known β-functions for specific theories to fix all coefficients. Three-loop β-functions for the cubic coupling and scalar mass terms also follow from the result, which is made available in software packages.

Link to the paper:

https://arxiv.org/abs/2408.05267