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arXiv 0901.1785hep-ph
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私有Higgs模型中的$B_{s,d}-\bar B_{s,d}$混合和$b\to q (\ga, \ell \bar \ell)$衰变

$B_{s,d}-\bar B_{s,d}$ mixings and $b\to q (\ga, \ell \bar \ell)$ decays in private Higgs model

Rachid Benbrik, Chuan-Hung Chen, Chao-Qiang Geng

摘要:

在每个夸克味都与一个Higgs偶态相关联的私人Higgs(PH)模型中,我们研究了最轻荷电Higgs引起的低能现象。我们证明了带电希格斯标量与费米子的耦合是固定的,未知参数仅为带电希格斯标量的质量和混合元。当带电Higgs质量满足$M_b<M_{c}\ll M_{s} \ll M_{d,u}$时,包含$B$ -介子的过程有望成为检验PH模型的理想场所.特别是,我们探讨了从实验数据在$B$物理模型的约束,如分支比(BR)和CP不对称性(CPA)的$B\to X_s \ga$,$B_{d,s}-\bar B_{d,s}$混合和BR的$B\to K^* \ell^{+} \ell^{-}$。我们证明了$B\to X_s \ga$的Wilson系数的符号可以不同于标准模型中的Wilson系数的符号,而这种符号的翻转可以通过$B\to V \ell^{+} \ell^{-}$与$V$的前后不对称性来表现.我们还证明了$B_{d,s}-\bar B_{d,s}$混合和它们的时间依赖CPA是可以忽略不计的小和BR的$B\to K^* \ell^{+} \ell^{-}$可以有一个更严格的限制比$B\to X_s \ga$。

英文摘要:

We study the low energy phenomena induced by the lightest charged Higgs in the private Higgs (PH) model, in which each quark flavor is associated with a Higgs doublet. We show that the couplings of the charged Higgs scalars to fermions are fixed and the unknown parameters are only the masses and mixing elements of the charged Higgs scalars. As the charged Higgs masses satisfy with $M_b<M_{c}\ll M_{s} \ll M_{d,u}$, processes involving $B$-meson are expected to be the ideal places to test the PH model. In particular, we explore the constraints on the model from experimental data in $B$ physics, such as the branching ratio (BR) and CP asymmetry (CPA) of $B\to X_s \ga$, $B_{d,s}-\bar B_{d,s}$ mixings and the BR for $B\to K^* \ell^{+} \ell^{-}$. We illustrate that the sign of the Wilson coefficient for $B\to X_s \ga$ can be different from that in the standard model, while this flipped sign can be displayed by the forward-backward asymmetry of $B\to V \ell^{+} \ell^{-}$ with $V$ a vector meson. We also demonstrate that $B_{d,s}-\bar B_{d,s}$ mixings and their time-dependent CPAs are negligible small and the BR of $B\to K^* \ell^{+} \ell^{-}$ can have a more strict bound than that of $B\to X_s \ga$.

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