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arXiv 1104.0135hep-ph
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$D\rightarrow πK, KK$衰变中的非因子分解贡献

Non-factorization contributions in $D\rightarrow πK, KK$ decay

Xiang-Yao Wu, Bai-Jun Zhang, Hai-Bo Li, Xiao-Jing Liu, Bing Liu, Jing-Wu Li, Yi-Qing Guo

摘要:

我们分析了$D\rightarrow πK, KK$衰变的朴素因子分解(NF)、QCD因子分解(QCDF)和包含软胶子交换的QCD因子分解(QCDF+SGE)。在这些衰变通道中,首次采用光锥QCD求和规则计算了软胶子效应。比较这三种方法的计算结果发现,在色抑制衰变道中,QCD因子分解(QCDF)比朴素因子分解(NF)得到了更大的改进,而在色抑制衰变道中,QCD因子分解(QCDF)比包含软胶子交换的QCD因子分解(QCDF+SGE)得到了更大的改进。此外,我们还发现软胶子效应大于首阶贡献,并且对于色抑制的衰变通道,计算结果与实验数据接近。在色允许衰变道$D^{0}\rightarrow π^{+} K^{-}$中,软胶子效应很小,我们应该考虑其他的功率项,如末态相互作用和湮灭效应。

英文摘要:

We have analyzed the $D\rightarrow πK, KK$ decay with the naive factorization (NF), QCD factorization (QCDF)and QCD factorization including soft-gluon exchanges (QCDF+SGE). In these decay channels, the soft-gluon effects are firstly calculated with light cone QCD sum rules. Comparing the three kind approaches, we can find the calculation results have made much more improved QCD factorization (QCDF) than the naive factorization (NF), and the calculation results have also made improved QCD factorization including soft-gluon exchanges (QCDF+SGE) than the QCD factorization (QCDF) in the color-suppressed decay channels. In addition, we find the soft-gluon effects are larger than the leading order contributions, and the calculation results are close to the experimental data for the color-suppressed decay channels. In color-allowed decay channel $D^{0}\rightarrow π^{+} K^{-}$, the soft-gluon effects are small and we should consider other power terms, such as final state interaction and annihilation effects.

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