MSSM Lightest CP-Even MSSM Higgs Boson Mass to O(alpha_s alpha_t): the Effective Potential Approach

TL;DR

This paper derives a simple analytical formula for the lightest Higgs boson mass in the MSSM, incorporating two-loop corrections and resummation techniques, especially accounting for top-squark mixing effects.

Contribution

It provides a new analytical approximation for the MSSM Higgs mass including higher-order corrections and resummation, improving precision over previous methods.

Findings

Accurate two-loop Higgs mass approximation in MSSM

Inclusion of non-zero top-squark mixing effects

Resummation of higher order logarithmic terms

Abstract

Starting with the two-loop effective potential of the MSSM, and assuming a supersymmetric scale well above $M_Z$, we derive a simple analytical approximation for the lightest CP-even Higgs boson mass including resummation of higher order logarithmic terms via RG-improvement and finite non-logarithmic terms up to ${\cal O}(\alpha_s\alpha_t)$. This formula describes the most relevant radiative corrections to the MSSM Higgs boson mass, in particular, those associated with non-zero top-squark mixing.