The light MSSM Higgs boson mass for large $\tan\beta$ and complex input parameters

TL;DR

This paper presents enhancements to the FeynHiggs code for predicting the light MSSM Higgs boson mass, including resummation techniques, CP-violation effects, and higher-order corrections, leading to more accurate mass predictions especially at large .

Contribution

The paper introduces new resummation methods, CP-violation effects, and partial N^3LL resummation into FeynHiggs for improved Higgs mass calculations.

Findings

Resummation of bottom-Yukawa logarithms can significantly increase Higgs mass predictions.

Inclusion of CP-violating phases affects the Higgs mass calculation.

Partial N^3LL resummation improves the theoretical precision of the prediction.

Abstract

We discuss various improvements of the prediction for the light MSSM Higgs boson mass in the hybrid framework of the public code FeynHiggs, which combines fixed-order and effective field theory results. First, we discuss the resummation of logarithmic contributions proportional to the bottom-Yukawa coupling including two-loop $\Delta_b$ resummation. For large $\tan\beta$, these improvements can lead to large upward shifts of the Higgs mass compared to the existing fixed-order calculations. Second, we improve the implemented EFT calculation by fully taking into account the effect of $\mathcal{CP}$-violating phases. As a third improvement, we discuss the inclusion of partial N$^3$LL resummation. The presented improvements will be implemented into FeynHiggs.