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 — preprints:2009:ttp09-01 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP09-01 The supersymmetric Higgs sector and B-anti-B mixing for large tan  beta ====== + + + We match the Higgs sector of the most general flavour breaking and CP + violating minimal supersymmetric standard model (MSSM) onto a generic + two-Higgs-doublet model, paying special attention to the definition of + $\tan\beta$ in the effective theory. In particular no + $\tan\beta$-enhanced loop corrections appear in the relation to + $\tan\beta$ defined in the $\overline{\textrm{DR}}$ scheme in the + MSSM. The corrections to the Higgs-mediated flavour-changing amplitudes + which result from this matching are especially relevant for the $B_d$ + and $B_s$ mass differences $\dm_{d,s}$ for minimal flavour violation, + where the superficially leading contribution vanishes. We give a + symmetry argument to explain this cancellation and perform a systematic + study of all Higgs-mediated effects, including Higgs loops. The + corrections to $\dm_s$ are at most 7\% for $\mu>0$ and $M_A < 600\gev$ + if constraints from other observables are taken into account. For + $\mu<0$ they can be larger, but are always less than about + 20\%. Contrary to recent claims we do not find numerically large + contributions here, nor do we find any $\tan\beta$-enhanced + contributions from loop corrections to the Higgs potential in $B^+ \to + \tau^+ \nu$ or $B \to X_s \gamma$.  We further update supersymmetric + loop corrections to the Yukawa couplings, where we include all possible + CP-violating phases and correct errors in the literature.  The possible + presence of CP-violating phases generated by Higgs exchange diagrams is + briefly discussed as well. Finally we provide improved values for the + bag factors $P^{\rm VLL}_1$, $P^{\rm + LR}_2$, and $P^{\rm SLL}_1$ at the electroweak scale. + + |**Martin Gorbahn, Sebastian Jäger, Ulrich Nierste and Stephanie Trine**  | + |** Phys.Rev. D84 034030 2011  **  | + | {{preprints:2009:ttp09-01.pdf|PDF}} {{preprints:2009:ttp09-01.ps|PostScript}} [[http://arxiv.org/abs/0901.2065|arXiv]]   | + | |