# Comparison of the EFT Hybrid and Three-Loop Fixed-Order Calculations of the Lightest MSSM Higgs Boson Mass

## TL;DR

This paper compares the EFT hybrid and three-loop fixed-order calculations of the lightest MSSM Higgs boson mass, highlighting their agreement and implications for the SUSY scale based on recent experimental data.

## Contribution

It provides a detailed comparison of two advanced Higgs mass calculation methods within the MSSM, including the impact of different SUSY scales and stop mixing parameters.

## Key findings

- Predictions agree for a single SUSY-scale and zero stop mixing below 10 TeV.
- Agreement improves with an additional SUSY scale and non-zero stop mixing.
- Upper bound on SUSY scale is approximately 12.5 TeV based on Higgs mass measurements.

## Abstract

The lightest Higgs boson mass of the Minimal Supersymmetric Standard Model has been recently computed diagrammatically at the three-loop order in the whole supersymmetric parameters space of the SUSY-QCD sector. The code FeynHiggs combines one- and two-loop fixed-order with the effective-field-theory calculations for the same Higgs mass. The two numerical predictions agree considering the scenario of only one SUSY-scale and vanishing stop mixing parameter below 10 TeV. The agreement is improved by introducing an additional supersymmetric scale and a non-zero stop mixing. Additionally, the combined CMS/ATLAS Higgs mass value was used to derive an upper bound on the needed SUSY scale. In the considered scenario, values above the scale $12.5\pm1.2~\rm{TeV}$ are excluded.