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arXiv 2212.09054hep-phhep-ex
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修正微扰QCD方法下$B\to K\pi$衰变的分支比与$CP$破坏

Branching ratio and $CP$ violation of $B\to Kπ$ decays in a modified perturbative QCD approach

Ru-Xuan Wang, Mao-Zhi Yang

AI总结:

本研究采用基于$k_T$因子化的修正微扰QCD方法,纳入软贡献、次领头阶修正及色八重态矩阵元等效应,计算$B\to K\pi$衰变的分支比与$CP$破坏,结果与实验吻合,解决了$K\pi$谜题。

摘要:

我们在基于$k_T$因子化的修正微扰QCD方法中,计算了$B\to K\pi$衰变的分支比与$CP$破坏。横动量的重求和效应可调节端点奇点。采用相对论势模型得到的$B$介子波函数时,软贡献无法被Sudakov因子有效抑制,因此必须引入软标度截断以及软$BK$、$B\pi$和$K\pi$形状因子。我们还考虑了来自顶点修正、夸克圈和磁企鹅图的最重要的次领头阶贡献,此外还纳入了本质上属于长距离动力学的色八重态强子矩阵元的贡献。我们对分支比和$CP$破坏的理论预测与实验数据吻合良好,尤其是$B^+\to K^+\pi^0$与$B^0\to K^+\pi^-$的$CP$破坏存在显著差异的理论结果,与实验测量一致,因此$B$衰变中的$K\pi$谜题可通过我们的修正微扰QCD方法得以解决。

英文摘要:

We calculate the branching ratio and $CP$ violations for $B\to Kπ$ decays in a modified perturbative QCD approach based on $k_{T}$ factorization. The resummation effect of the transverse momentum regulates the endpoint singularity. Using the $B$ meson wave function that is obtained in the relativistic potential model, soft contribution cannot be suppressed effectively by Sudakov factor. Soft scale cutoff and soft $BK$, $Bπ$ and $Kπ$ form factors have to be introduced. The most important next-to-leading-order contributions from the vertex corrections, the quark loops, and the magnetic penguins are also considered. In addition, the contribution of the color-octet hadronic matrix element is included which is essentially of long-distance dynamics. Our predictions for branching ratios and $CP$ violations are in good agreement with the experimental data. Especially the theoretical result of dramatic difference between the $CP$ violations of $B^+\to K^+π^0$ and $B^0\to K^+π^-$ is consistent with experimental measurement, therefore the $Kπ$ puzzle in $B$ decays can be resolved in our way of the modified perturbative QCD approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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