Four-loop Standard Model effective potential at leading order in QCD

TL;DR

This paper computes the leading QCD contribution to the four-loop effective potential of the Standard Model Higgs field and the related four-loop beta function of the Higgs self-coupling, advancing precision in theoretical predictions.

Contribution

It provides the first calculation of the four-loop QCD contribution to the Standard Model effective potential and Higgs self-coupling beta function.

Findings

Calculated the leading QCD four-loop effective potential contribution.

Derived the four-loop beta function for the Higgs self-interaction.

Enhanced the precision of theoretical predictions in the Standard Model.

Abstract

The leading QCD part of the four-loop contribution to the effective potential for the Standard Model Higgs field is found. As a byproduct, I also find the corresponding contribution to the four-loop beta function of the Higgs self-interaction coupling.