The Higgs Boson Mass as Fundamental Parameter of the Minimal Supersymmetric Standard Model

TL;DR

This paper presents a method to determine the supersymmetric parameter $A_t$ from the precisely measured Higgs boson mass within the MSSM, using a semi-analytical, two-loop precision algorithm implemented in the SuSpect calculator.

Contribution

It introduces a novel semi-analytical inversion algorithm to extract $A_t$ from the Higgs mass, enhancing precision in MSSM parameter determination.

Findings

Algorithm achieves two-loop precision in $A_t$ extraction.

Implementation in SuSpect allows practical application with LHC-compatible parameters.

Method can be extended to higher-order calculations.

Abstract

In the Minimal Supersymmetric Standard Model (MSSM) the mass of the lightest neutral Higgs boson is determined by the supersymmetric parameters. In the $m_h$MSSM the precisely measured Higgs boson replaces the trilinear coupling $A_t$ as input parameter. Expressions are derived to extract $A_t$ in a semi-analytical form as a function of the light Higgs boson (pole) mass. An algorithm is developed and implemented at two--loop precision, generalizable to higher orders, to perform this inversion consistently. The result of the algorithm, implemented in the SuSpect spectrum calculator, is illustrated on a parameter set compatible with LHC measurements.