Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context

TL;DR

This paper investigates the three-loop corrections of order α_tα_s^2 to the Higgs mass in the MSSM within a pure ar{ ext{DR}} framework, demonstrating improved accuracy and reduced scale dependence compared to two-loop and EFT approaches.

Contribution

It implements three-loop effects into spectrum generators, enhancing precision in Higgs mass predictions within the MSSM using a pure ar{ ext{DR}} scheme.

Findings

Three-loop corrections significantly reduce the difference from EFT predictions.

The three-loop results decrease the renormalization scale dependence.

Himalaya can be integrated with other ar{ ext{DR}} codes for higher-order calculations.

Abstract

The impact of the three-loop effects of order $\alpha_t\alpha_s^2$ on the mass of the light CP-even Higgs boson in the MSSM is studied in a pure $\overline{\text{DR}}$ context. For this purpose, we implement the results of Kant et al. into the C++ module Himalaya and link it to FlexibleSUSY, a Mathematica and C++ package to create spectrum generators for BSM models. The three-loop result is compared to the fixed-order two-loop calculations of the original FlexibleSUSY and of FeynHiggs, as well as to the result based on an EFT approach. Aside from the expected reduction of the renormalization scale dependence with respect to the lower order results, we find that the three-loop contributions significantly reduce the difference from the EFT prediction in the TeV-region of the SUSY scale $M_S$. Himalaya can be linked also to other two-loop $\overline{\text{DR}}$ codes, thus allowing for the elevation of these codes to the three-loop level.