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

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.

32 pages, 8 figures, 1 table [version submitted to EPJC]

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Cited by in corpus (13)

• Higgs-mass predictions in the MSSM and beyond
• GUT-constrained supersymmetry and dark matter in light of the new $(g-2{)}_{\mu }$ determination
• Precise calculation of the W boson pole mass beyond the Standard Model with FlexibleSUSY
• The Lightest Higgs Boson Mass of the MSSM at Three-Loop Accuracy
• The light CP-even MSSM Higgs mass including N${}^3$LO+N${}^3$LL QCD corrections
• The light MSSM Higgs boson mass for large $\tan \beta$ and complex input parameters
• Hybrid calculation of the MSSM Higgs boson masses using the complex THDM as EFT
• Expectation management
• Resummation of terms enhanced by trilinear squark-Higgs couplings in the MSSM
• The Higgs Boson Mass as Fundamental Parameter of the Minimal Supersymmetric Standard Model
• Radiative corrections to stop-antistop annihilation into gluons and light quarks
• Fighting off field dependence in MSSM Higgs-mass corrections of order ${\alpha }_t{\alpha }_s$ and ${\alpha }_t^2$
• Addendum: Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation