SusyHD: Higgs mass Determination in Supersymmetry

TL;DR

SusyHD advances Higgs mass calculations in supersymmetry by incorporating additional threshold corrections, reducing theoretical uncertainties to within 1 GeV, and providing a fast computational tool applicable across a wide range of SUSY scales.

Contribution

The paper introduces SusyHD, a new computational code that improves Higgs mass predictions in SUSY models by including extra threshold corrections and analyzing various parameter spaces.

Findings

Theoretical uncertainty in Higgs mass calculation is within 1 GeV.

SUSY scale can be slightly heavier with smaller Higgs mass in EFT.

Sbottom thresholds may relax upper bounds on SUSY scale.

Abstract

We present the state-of-the-art of the effective field theory computation of the MSSM Higgs mass, improving the existing ones by including extra threshold corrections. We show that, with this approach, the theoretical uncertainty is within 1 GeV in most of the relevant parameter space. We confirm the smaller value of the Higgs mass found in the EFT computations, which implies a slightly heavier SUSY scale. We study the large tan(\beta) region, finding that sbottom thresholds might relax the upper bound on the scale of SUSY. We present SusyHD, a fast computer code that computes the Higgs mass and its uncertainty for any SUSY scale, from the TeV to the Planck scale, even in Split SUSY, both in the DRbar and in the on-shell schemes. Finally, we apply our results to derive bounds on some well motivated SUSY models, in particular we show how the value of the Higgs mass allows to determine the complete spectrum in minimal gauge mediation.