arXiv 1312.13022013-12hep-ph

族非普适Z'模型中强子b->s跃迁的综合分析

A Comprehensive Analysis of Hadronic b->s Transitions in a Family Non-universal Z' Model

Qin Chang, Xin-Qiang Li, Ya-Dong Yang

备注：: 38 pages, 11 figures; To appear in JPG
发表信息：: J. Phys. G 41 (2014) 105002
DOI：: 10.1088/0954-3899/41/10/105002

摘要：

受最新改进的B介子衰变测量方法的启发，我们全面分析了一族非普适$Z^{\prime}$玻色子对$B_s-\bar{B}_s$混合和两体强子B介子衰变的影响，这些过程都是以夸克能级$b\to s$跃迁为特征的.解释22衰变模式和相关的52个观测值被认为是，它们之间的一些有趣的相关性也仔细检查。首先，从$B_s-\bar{B}_s$混合中提取出$b-s-Z^{\prime}$耦合参数$|B^{L,R}_{sb}|$和$ϕ^{L,R}_s$的允许值。然后，在“SM限制”中~（{ \it即，}没有新的类型的$Z^{\prime}$诱导的四夸克算符出现相比，SM的情况下），我们研究了$Z^{\prime}$对$B\toπK$，$πK^{\ast}$和$ρK$衰变的影响。发现一个新的弱相$ϕ^{L}_s\sim -90^{\circ}$是解决观测到的“$πK$ CP之谜”的关键，而其他$Z^{\prime}$耦合参数的允许值也受到严格的限制。此外，还研究了由相同的夸克能级$b\to s q\bar{q}~(q=u,d)$跃迁引起的$Z^{\prime}$对$\bar{B}_s\to K K$、$K K^{\ast}$和$π^0 ϕ$衰变的影响.特别是发现，一旦测量到衰变$\bar{B}_s \to π^0 ϕ$，将对揭示观测到的“$πK$ CP之谜”和探索可能的新物理线索起到关键作用。最后，为了验证$Z^{\prime}$耦合对光夸克对的非普适性，我们详细研究了$B\to ϕK$衰变，发现左手$s-s-Z^{\prime}$耦合不同于$d-d-Z^{\prime}$耦合，这是由于BaBar合作组报道的大$A_{CP}^{dir}(B^-\toϕK^-)$。

英文摘要：

Motivated by the latest improved measurements of B-meson decays, we make a comprehensive analysis of the impact of a family non-universal $Z^{\prime}$ boson on $B_s-\bar{B}_s$ mixing and two-body hadronic B-meson decays, all being characterized by the quark-level $b\to s$ transition. Explicitly 22 decay modes and the related 52 observables are considered, and some interesting correlations between them are also carefully examined. Firstly, the allowed oases of $b-s-Z^{\prime}$ coupling parameters $|B^{L,R}_{sb}|$ and $ϕ^{L,R}_s$ are extracted from $B_s-\bar{B}_s$ mixing. Then, in the "SM limit"~({\it i.e.,} no new types of $Z^{\prime}$-induced four-quark operators arise compared to the SM case), we study the $Z^{\prime}$ effects on $B\toπK$, $πK^{\ast}$ and $ρK$ decays. It is found that a new weak phase $ϕ^{L}_s\sim -90^{\circ}$ is crucial for resolving the observed "$πK$ CP puzzle" and the allowed oases of the other $Z^{\prime}$ coupling parameters are also strongly restricted. Moreover, the $Z^{\prime}$ effects on $\bar{B}_s\to K K$, $K K^{\ast}$ and $π^0 ϕ$ decays, being induced by the same quark-level $b\to s q\bar{q}~(q=u,d)$ transitions, are also investigated. Especially, it is found that the decay $\bar{B}_s \to π^0 ϕ$, once measured, would play a key role in revealing the observed "$πK$ CP puzzle" and probing possible new physics hints. Finally, to check the non-universality of $Z^{\prime}$ couplings to light-quark pairs, we have studied the $B\to ϕK$ decays in detail and found that the left-handed $s-s-Z^{\prime}$ coupling is different from the $d-d-Z^{\prime}$ one, which is due to the large $A_{CP}^{dir}(B^-\toϕK^-)$ reported by the BaBar collaboration.

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