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arXiv 1702.01704hep-ph
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从$P_{\ell 4}$排他衰变估算CKM矩阵元

Evaluation of CKM matrix elements from exclusive $P_{\ell 4}$ decays

C. S. Kim, G. López Castro, S. L. Tostado

摘要:

我们考虑排他的$P_{\ell 4}$衰变,$P\to (P_1P_2)_V\ell ν_{\ell}$,其中的子指标$V$意味着不变的质量的赝标对是采取在一个小窗口内的质量周围的矢量介子$V$。极点贡献超出$P_{\ell 4}$衰变的主导$P\to V(\to P_1P_2)\ellν_{\ell}$幅度被识别,这反过来又影响CKM矩阵元素$|V_{qq'}|$的确定。我们评估的影响,这些贡献在提取底夸克和魅夸克混合。从Belle合作的$B\to (ππ)_ρ\ell ν_{\ell}$数据的应用程序,显示出更好的协议与基于$B\to π\ellν_{\ell}$衰变的测定的$|V_{ub}|$的提取值的增加。还研究了$ρ$和$D^*$极贡献在从衰变$D\to ππ\ell^- \barν_{\ell}$测定$|V_{cd}|$中的作用。

英文摘要:

We consider the exclusive $P_{\ell 4}$ decays, $P\to (P_1P_2)_V\ell ν_{\ell}$, where the subindex $V$ means that the invariant mass of the pseudoscalar pair is taken within a small window around the mass of the vector meson $V$. Pole contributions beyond the dominant $P\to V(\to P_1P_2)\ellν_{\ell}$ amplitude of $P_{\ell 4}$ decays are identified, which, in turn, affects the determination of the CKM matrix elements $|V_{qq'}|$. We evaluate the effects of those contributions in the extraction of bottom and charm quark mixings. An application to $B\to (ππ)_ρ\ell ν_{\ell}$ data from Belle collaboration, shows an increase in the extracted value of $|V_{ub}|$ in better agreement with determinations based on $B\to π\ellν_{\ell}$ decays. The effect of the $ρ$ and $D^*$ pole contributions in the determination of $|V_{cd}|$ from the decay $D\to ππ\ell^- \barν_{\ell}$, has been also investigated.

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