Abstract
We extend the already existing two-loop calculation of the effective bottom-Yukawa coupling in the MSSM. In addition to the resummation of the dominant corrections for large values of tgbeta , we include the subleading terms related to the trilinear Higgs coupling A_b and contributions induced by the electroweak gauge couplings. This calculation has been extended to the NNLO corrections to the MSSM strange-Yukawa coupling. Our analysis leads to residual theoretical uncertainties of the effective Yukawa couplings at the per-cent level.
Highlights
The discovery of a Standard-Model-like Higgs boson at the LHC [1,2] completed the theory of electroweak and strong interactions
The final results of this paper have been implemented in the program Hdecay [68,69,70]. This code computes the minimal supersymmetric extension of the Standard Model (MSSM) Higgs couplings and masses based on the RG-improved expressions of Ref. [71]
For large tgβ values the dominant neutral Higgs boson decays are into bband τ +τ −
Summary
The discovery of a Standard-Model-like Higgs boson at the LHC [1,2] completed the theory of electroweak and strong interactions. If embedded in a Grand Unified Theory (GUT), radiative corrections tend to push the Higgs mass towards the GUT scale, if the Higgs couples to particles at this large scale. This problem is known as the hierarchy problem [12,13,14,15]. The Higgs couplings to gauge bosons and fermions involve mixing angles α and β, which are defined by diagonalizing the neutral and charged Higgs mass matrices. The soft SUSY-breaking terms in the MSSM induce mixing of the current sfermion eigenstates fL and fR. In particular the neutral and charged Higgs decay widths and Higgs radiation off bottom quarks at hadron colliders, which constitutes the dominant heavy Higgs boson production channel for large tgβ at the LHC [36,37,38], are affected
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