Abstract

Recently, the Higgs boson masses in the Minimal supersymmetric standard model (MSSM) and their mixing have been calculated using the complex two-Higgs-doublet model (cTHDM) as an effective field theory (EFT) of the MSSM. Here, we discuss the implementation of this calculation, which we improve in several aspects, into the hybrid framework of FeynHiggs by combing the cTHDM-EFT calculation with the existing fixed-order calculation. This combination allows accurate predictions also in the intermediate regime where some SUSY particles are relatively light, some relatively heavy and some in between. Moreover, the implementation provides precise predictions for the Higgs decay rates and production cross-sections.

Highlights

  • We discuss the implementation of this calculation, which we improve in several aspects, into the hybrid framework of FeynHiggs by combing the complex two-Higgs-doublet model (cTHDM)-effective field theory (EFT) calculation with the existing fixed-order calculation

  • CP violation in BSM-Higgs sectors is one intriguing possibility to overcome the lack of CP violation in the SM; this lack renders an explanation of the matter–antimatter asymmetry of the Universe difficult

  • We discussed precision predictions in the CP-violating Minimal supersymmetric standard model (MSSM) using the cTHDM as EFT

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Summary

EFT calculation

Our EFT calculation closely follows the one published in [24]. At the scale MSUSY, which we choose to be the geometric mean of the stop SUSY soft-breaking mass parameters, we integrate out all sfermions as well as the gauginos and Higgsinos (i.e., we do not take into account separate electroweakino (EWino) and gluino thresholds as in [21] for real parameters). After fixing the cTHDM parameters at MSUSY by matching to the full MSSM, we evolve the couplings down to the scale of the non-SM Higgs bosons, which we take to be the charged Higgs mass MH±. For this evolution, we use the renormalization group equations (RGEs) derived in [24] following [57,58,59,60,61,62,63] and compared to the results of [64]. Full one-loop threshold corrections between the SM and the complex THDM (i.e., for the SM Higgs self-coupling and the top-Yukawa coupling),. When the EFT calculation is combined with the fixed-order calculation in the hybrid approach, the effect of non-degenerate masses is, fully captured at the order of the fixedorder calculation

Combination with fixed-order calculation
Numerical results
Conclusions
Matching the SM to the cTHDM
Matching the cTHDM to the MSSM
Full Text
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