The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level

TL;DR

This paper presents a compact analytical approximation formula for the mass of the lightest Higgs boson in the MSSM, derived from two-loop calculations, valid across general parameter choices, with high accuracy.

Contribution

The authors derive a new compact analytical expression for m_h in the MSSM from two-loop results, applicable to general mixing and parameters, improving computational efficiency.

Findings

Agreement better than 2 GeV with full diagrammatic results in most parameter space regions.

Provides a practical tool for quick Higgs mass estimates in MSSM studies.

Validates the approximation across a wide range of MSSM parameters.

Abstract

A compact approximation formula for the mass of the lightest neutral CP-even Higgs boson, m_h, in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m_h up to O(alpha alpha_s). By analytically expanding the diagrammatic result the leading logarithmic and non-logarithmic as well as the dominant subleading contributions are obtained. The approximation formula is valid for general mixing in the scalar top sector and arbitrary choices of the parameters in the Higgs sector of the model. Its quality is analyzed by comparing it with the full diagrammatic result. We find agreement with the full result better than 2 GeV for most parts of the MSSM parameter space.