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preprints:2009:ttp09-01 [2016/03/17 11:03] (current)
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 +====== TTP09-01 The supersymmetric Higgs sector and B-anti-B mixing for large tan  beta ====== 
 +   <​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 $\mu&​gt;​0$ and $M_A &lt; 600\gev$ 
 + if constraints from other observables are taken into account. For 
 + ​$\mu&​lt;​0$ 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]] ​  | 
 +| |