Momentum Dependent Two-Loop Corrections to the Neutral Higgs Boson Masses in the MSSM

TL;DR

This paper calculates momentum-dependent two-loop corrections to the MSSM Higgs boson masses, improving the precision of theoretical predictions and reducing uncertainties in the lightest Higgs mass estimate.

Contribution

It introduces a novel computation of momentum-dependent two-loop corrections in the MSSM Higgs sector using a Feynman-diagrammatic approach and integrates these into existing tools for enhanced accuracy.

Findings

Corrections can shift the Higgs mass by up to 500 MeV.

The new corrections reduce theoretical uncertainties in Higgs mass predictions.

The approach is compatible with existing computational frameworks like FeynHiggs.

Abstract

The momentum dependent two-loop contributions of the order $\mathcal{O}$($\alpha_s \alpha_t$) to the masses in the Higgs-boson sector of the MSSM are computed. Adopting the Feynman-diagrammatic approach and using a mixed on-shell/$\overline{DR}$ renormalization scheme, the new corrections can directly be matched onto the higher-order corrections included in the code FeynHiggs. Two-loop diagrams involving several mass scales are evaluated with the program SecDec. The combination of the new momentum dependent two-loop contribution with the existing one- and two-loop corrections leads to an improved prediction of the light MSSM Higgs-boson mass with reduced theoretical uncertainty. The resulting shifts in the lightest Higgs-boson mass $M_h$ can extend up to the level of the current experimental uncertainty of about 500 MeV in the scenario considered in these proceedings.