Light MSSM Higgs boson mass to three-loop accuracy

TL;DR

This paper calculates the mass of the light MSSM Higgs boson to three-loop accuracy, providing a precise theoretical prediction with reduced uncertainty, implemented in a dedicated computational tool.

Contribution

It presents the first three-loop calculation of the light MSSM Higgs boson mass, improving precision over previous two-loop results and estimating the remaining theoretical uncertainty.

Findings

Three-loop effects are a few hundred MeV, opposite in sign to two-loop corrections.

Remaining theoretical uncertainty is estimated to be less than 1 GeV.

The results are implemented in the H3m program for practical use.

Abstract

The light CP even Higgs boson mass, Mh, is calculated to three-loop accuracy within the Minimal Supersymmetric Standard Model (MSSM). The result is expressed in terms of DRbar parameters and implemented in the computer program H3m. The calculation is based on the proper approximations and their combination in various regions of the parameter space. The three-loop effects to Mh are typically of the order of a few hundred MeV and opposite in sign to the two-loop corrections. The remaining theory uncertainty due to higher order perturbative corrections is estimated to be less than 1 GeV.