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+ | ====== TTP09-01 The supersymmetric Higgs sector and B-anti-B mixing for large tan beta ====== | ||

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+ | <hidden 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. | ||

+ | </hidden> | ||

+ | |**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]] | | ||

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