On exact minimization of Higgs potentials

TL;DR

This paper introduces a method to preserve the tree-level global minimum of the Higgs potential when incorporating loop corrections, demonstrated within the MSSM framework.

Contribution

It proposes a novel approach to maintain the tree-level minimum in the effective potential, extending exact minimization techniques beyond polynomial potentials.

Findings

Method successfully preserves the global minimum with loop corrections.

Applicable to the MSSM Higgs potential.

Enhances accuracy of Higgs potential minimization in quantum corrections.

Abstract

Minimizing the Higgs potential is an essential task in any model involving Higgs bosons. Exact minimization methods proposed in the literature are based on the polynomial form of the potential. These methods will in general no longer work if loop contributions to the potential are taken into account. We present a method to keep the tree level global minimum unchanged in passing to the effective potential. We illustrate the method for the case of the Minimal Supersymmetric Model (MSSM).