Towards High-Precision Predictions for the MSSM Higgs Sector

Towards High-Precision Predictions for the MSSM Higgs Sector

21 Feb 2003 | G. Degrassi, S. Heinemeyer, W. Hollik, P. Slavich, and G. Weiglein
The paper reviews the status of the evaluation of the MSSM Higgs sector and discusses the phenomenological impact of recent corrections. It shows that the upper bound on the lightest Higgs boson mass, $ m_h $, within the MSSM is shifted upwards, weakening lower limits on $ \tan\beta $. The region in the $ M_A $-$ \tan\beta $ plane where the coupling of the lightest Higgs boson to down-type fermions is suppressed is modified. Higher-order corrections to the Higgs-boson mass matrix are estimated to shift the mass of the lightest Higgs boson by up to 3 GeV. The paper presents updated results for various quantities of physical interest, using the latest version of the Fortran code FeynHiggs, which includes all existing higher-order results. The paper discusses recent improvements in the MSSM Higgs sector, including the hybrid renormalization scheme and two-loop corrections. It also presents results for the phenomenological implications of the improved knowledge of the two-loop contributions to the Higgs boson self-energies. The paper discusses the currently unknown contributions in the prediction for the CP-even Higgs-boson masses of the MSSM and estimates their possible numerical importance. It concludes that the theoretical accuracy of the Higgs-boson mass determination is quite advanced, but additional contributions are needed for a complete two-loop result. The paper also estimates the size of higher-order (three-loop) contributions, finding that they could be up to 1–1.5 GeV. The paper discusses the importance of the renormalization scale dependence and the effect of the unknown three-loop corrections on the Higgs-boson mass.The paper reviews the status of the evaluation of the MSSM Higgs sector and discusses the phenomenological impact of recent corrections. It shows that the upper bound on the lightest Higgs boson mass, $ m_h $, within the MSSM is shifted upwards, weakening lower limits on $ \tan\beta $. The region in the $ M_A $-$ \tan\beta $ plane where the coupling of the lightest Higgs boson to down-type fermions is suppressed is modified. Higher-order corrections to the Higgs-boson mass matrix are estimated to shift the mass of the lightest Higgs boson by up to 3 GeV. The paper presents updated results for various quantities of physical interest, using the latest version of the Fortran code FeynHiggs, which includes all existing higher-order results. The paper discusses recent improvements in the MSSM Higgs sector, including the hybrid renormalization scheme and two-loop corrections. It also presents results for the phenomenological implications of the improved knowledge of the two-loop contributions to the Higgs boson self-energies. The paper discusses the currently unknown contributions in the prediction for the CP-even Higgs-boson masses of the MSSM and estimates their possible numerical importance. It concludes that the theoretical accuracy of the Higgs-boson mass determination is quite advanced, but additional contributions are needed for a complete two-loop result. The paper also estimates the size of higher-order (three-loop) contributions, finding that they could be up to 1–1.5 GeV. The paper discusses the importance of the renormalization scale dependence and the effect of the unknown three-loop corrections on the Higgs-boson mass.
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