An efficient renormalization group improved implementation of the MSSM effective potential

TL;DR

This paper introduces a new renormalization group method for the MSSM effective potential that improves stability and accuracy by effectively managing multiple mass scales through threshold switching.

Contribution

It presents a novel RG-based procedure for the MSSM effective potential that addresses the multimass scale problem using threshold decoupling and improves perturbative stability.

Findings

Identifies a optimal renormalization scale for stability.

Circumvents the multimass scale problem effectively.

Maintains perturbative hierarchy across configurations.

Abstract

In the context of MSSM, a novel improving procedure based on the renormalization group equation is applied to the effective potential in the Higgs sector. We focus on the one-loop radiative corrections computed in Landau gauge by using the mass independent renormalization scheme $\bar{DR}$. Thanks to the decoupling theorem, the well-known multimass scale problem is circumvented by switching to a new effective field theory every time a new particle threshold is encountered. We find that, for any field configuration, there is a convenient renormalization scale $\tilde{Q}^*$ at which the loop expansion respects the perturbation series hierarchy and the theory retains the vital property of stability.