Precise prediction for the mass of the light MSSM Higgs boson for the case of a heavy gluino

TL;DR

This paper improves the precision of predicting the light MSSM Higgs boson mass in scenarios with heavy gluinos by introducing a new renormalisation scheme, reducing uncertainties and enhancing numerical stability.

Contribution

It proposes a novel renormalisation scheme for EFT calculations that better accounts for heavy gluino effects in MSSM Higgs mass predictions.

Findings

Enhanced prediction accuracy in heavy gluino scenarios.

Reduced theoretical uncertainties in Higgs mass calculations.

Improved numerical stability of the results.

Abstract

State-of-the-art predictions for the mass of the lightest MSSM Higgs boson usually involve the resummation of higher-order logarithmic contributions obtained within an effective-field-theory (EFT) approach, often combined with a fixed-order calculation into a hybrid result. For the phenomenologically interesting case of a significant hierarchy between the gluino mass and the masses of the scalar top quarks the predictions suffer from large theoretical uncertainties related to non-decoupling power-enhanced gluino contributions in the EFT results employing the $\overline{\text{DR}}$ renormalisation scheme. We demonstrate that the theoretical predictions in the heavy gluino region are vastly improved by the introduction of a suitable renormalisation scheme for the EFT calculation. It is shown that within this scheme a recently proposed resummation of large gluino contributions is absorbed into the model parameters, resulting in reliable and numerically stable predictions in the heavy-gluino gluino region. We also discuss the integration of the results into the public code FeynHiggs.