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Higher-order corrections to Higgs boson decays in the MSSM with complex parameters

  • Regular Article - Theoretical Physics
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Abstract

We discuss Higgs boson decays in the CP-violating MSSM, and examine their phenomenological impact using cross section limits from the LEP Higgs searches. This includes a discussion of the full 1-loop results for the partial decay widths of neutral Higgs bosons into lighter neutral Higgs bosons (h a →h b h c ) and of neutral Higgs bosons into fermions (\(h_{a} \to f \bar{f}\)). In calculating the genuine vertex corrections, we take into account the full spectrum of supersymmetric particles and all complex phases of the supersymmetric parameters. These genuine vertex corrections are supplemented with Higgs propagator corrections incorporating the full 1-loop and the dominant 2-loop contributions, and we illustrate a method of consistently treating diagrams involving mixing with Goldstone and Z bosons. In particular, the genuine vertex corrections to the process h a →h b h c are found to be very large and, where this process is kinematically allowed, can have a significant effect on the regions of the CPX benchmark scenario which can be excluded by the results of the Higgs searches at LEP. However, there remains an unexcluded region of CPX parameter space at a lightest neutral Higgs boson mass of ∼45 GeV. In the analysis, we pay particular attention to the conversion between parameters defined in different renormalisation schemes and are therefore able to make a comparison to the results found using renormalisation group improved/effective potential calculations.

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  1. Bethe Center for Theoretical Physics, Physikalisches Institut der Universität Bonn, Nussallee 12, 53115, Bonn, Germany

    Karina E. Williams

  2. Physikalisches Institut Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104, Freiburg im Breisgau, Germany

    Heidi Rzehak

  3. DESY, Notkestr. 85, 22607, Hamburg, Germany

    Georg Weiglein

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  1. Karina E. Williams
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Williams, K.E., Rzehak, H. & Weiglein, G. Higher-order corrections to Higgs boson decays in the MSSM with complex parameters. Eur. Phys. J. C 71, 1669 (2011). https://doi.org/10.1140/epjc/s10052-011-1669-3

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