$B\to \eta^{(\prime)} (\ell^{-} \bar\nu_{\ell}, \ell^{+} \ell^{-}, K, K^*)$ decays in the quark-flavor mixing scheme
$B\to \eta^{(\prime)} (\ell^{-} \bar\nu_{\ell}, \ell^{+} \ell^{-}, K, K^*)$ decays in the quark-flavor mixing scheme
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$B o eta^{(prime)} (ell^{-} ar u_{ell}, ell^{ } ell^{-}, K, K^*)$ 衰减
DOI：
10.1103/physrevd.75.054003
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
C. Geng
中科院分区：
文献类型：
--
作者：
A. Akeroyd;C. Chen;C. Geng
在夸克-味混合方案中，$eta和$eta‘分别是味态$eta{q}=(u\bar{u}+d\bar{d})/\Sqrt{2}$和$eta{S}=S\bar{S}$的线性组合，其质量分别为$m_{qq}$和$m_{ss}$。在现象学上，$m_{ss}$严格固定在0.69左右，这在近似的味道对称性上接近$\Sqrt{2m^{2}_{K}-m^{2}_{\pi}}$，而$m_{qq}$则为$0.18\pm 0.08$GeV。对于较大的允许值$m_{qq}$，我们证明了$B\to\eta^{(\Prime)}X$的BRS随$X=(\ell^{-}\bar\nu_{\ell}，\ell^{+}\ell^{-})$的衰减而增强。我们还证明了在没有味道单重态贡献的情况下，$BR(B\to\ETA X)>；BR(B\to\ETA^{\PRIME}X)$在该机制中。此外，我们还证明了$B的衰变分支比(BRS)与数据一致。特别地，大的$BR(B<sup>0</sup></sup>>K<sup>0</sup><sup>0</sup>)$的谜题是可以解的。此外，我们还发现B^{\Pm}到ETA K^{\Pm}$的CP不对称性可以高达-30%，这与实验数据符合得很好。然而，我们不能在我们的分析中考虑$B\to\eta K^*$的CP不对称性，这可能表明存在一些新的CP破坏源。
In the quark-flavor mixing scheme, $\eta$ and $\eta'$ are linear combinations of flavor states $\eta_{q}=(u\bar{u}+d\bar{d})/\sqrt{2}$ and $\eta_{s}=s\bar{s}$ with the masses of $m_{qq}$ and $m_{ss}$, respectively. Phenomenologically, $m_{ss}$ is strictly fixed to be around 0.69, which is close to $\sqrt{2m^{2}_{K}-m^{2}_{\pi}}$ by the approximate flavor symmetry, while $m_{qq}$ is found to be $0.18\pm 0.08$ GeV. For a large allowed value of $m_{qq}$, we show that the BRs for $B\to \eta^{(\prime)} X$ decays with $X=(\ell^{-} \bar\nu_{\ell}, \ell^{+} \ell^{-})$ are enhanced. We also illustrate that $BR(B\to\eta X)> BR(B\to \eta^{\prime} X)$ in the mechanism without the flavor-singlet contribution. Moreover, we demonstrate that the decay branching ratios (BRs) for $B\to \eta^{(\prime)}K^{[*]}$ are consistent with the data. In particular, the puzzle of the large $BR(B\to \eta^{\prime} K)$ can be solved. In addition, we find that the CP asymmetry for $B^{\pm}\to \eta K^{\pm}$ can be as large as -30%, which agrees well with the data. However, we cannot accommodate the CP asymmetries of $B\to \eta K^*$ in our analysis, which could indicate the existence of some new CP violating sources.