# The Lightest Higgs Boson Mass of the MSSM at Three-Loop Accuracy

## TL;DR

This paper presents a three-loop quantum correction calculation for the lightest Higgs boson mass in the MSSM, extending previous results to the entire parameter space with advanced numerical techniques.

## Contribution

It provides the first three-loop order calculation of the Higgs mass in the MSSM using dimensional reduction and dispersion relation techniques for arbitrary mass scales.

## Key findings

- Extended the validity of Higgs mass calculations to the full MSSM parameter space.
- Developed new numerical methods for three-loop vacuum integrals with arbitrary masses.
- Achieved higher precision in Higgs mass predictions within supersymmetric models.

## Abstract

In this article we provide explicit computations of the quantum corrections to the lightest CP-even Higgs Boson mass in the real version of the Minimal Supersymmetric Standard Model. We compute the contributions coming from the SUSY-QCD sector with a precision of three loops at order $O(\alpha_t\alpha_s^2)$. The renormalization procedure adopted is based on the dimensional reduction scheme in order to preserve supersymmetry to all perturbative orders. The calculation extends the region of validity of previous studies to the whole supersymmetric parameter space. The involved master integrals have been computed by exploiting new proposed approaches based on the dispersion relation techniques for the numerical calculation of three-loop vacuum integrals with arbitrary mass scales.