王辉升, 王兴林, 葛强, 王庆松. 微扰QCD因子化方案下的B介子三体衰变[J]. 云南大学学报(自然科学版), 2020, 42(4): 679-684. doi: 10.7540/j.ynu.20190600
引用本文: 王辉升, 王兴林, 葛强, 王庆松. 微扰QCD因子化方案下的B介子三体衰变[J]. 云南大学学报(自然科学版), 2020, 42(4): 679-684. doi: 10.7540/j.ynu.20190600
WANG Hui-sheng, WANG Xing-lin, GE Qiang, WANG Qing-song. B three−body decays in perturbative QCD factorization approach[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(4): 679-684. DOI: 10.7540/j.ynu.20190600
Citation: WANG Hui-sheng, WANG Xing-lin, GE Qiang, WANG Qing-song. B three−body decays in perturbative QCD factorization approach[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(4): 679-684. DOI: 10.7540/j.ynu.20190600

微扰QCD因子化方案下的B介子三体衰变

B three−body decays in perturbative QCD factorization approach

  • 摘要: 运用微扰QCD因子化方案,考虑Sudakov因子对长程部分的压低作用,引入双强子分布振幅等非微扰参数,利用Flatté和Briet−Wigner模型对类时形状因子进行参数化处理,加入顶角修正,微扰计算经共振态 \rmf_0(500,\;980,\;1\;500,\;1\;790) \rmB^ + \to \textπ^ + \textπ^ - \textπ^ + 三体衰变分支比,结果分别为 6.41 \times 10^ - 9 1.25 \times 10^ - 7 1.92 \times 10^ - 8 5.66 \times 10^ - 9 . 目前实验上给出分支比 Br(\rmB^ + \to \textπ^ + f_0(980)\textπ^ + \textπ^ - ) 的上限数据是 1.5 \times 10^ - 6 . 对比实验结果表明,在考虑 \rms\bar s 的贡献和顶角修正项后,该文计算较前期结果更加合理,其中 \rms\bar s 的贡献是差别的主要来源,不容忽略.

     

    Abstract: We calculate the branching ratio of B three-body decay to \rmf_0(500,\;980,\;1\;500,\;1\;790) resonance in perturbative QCD factorization approach with the two-hadron distribution amplitude input parameter. The Flatté and the Breit-Wigner models are adopted to parameterize the time-like scalar form factors. The Sudakov form factors suppress the soft dynamics effectively, and make the perturbative calculation possible. We get the results 6.41 \times 10^ - 9 , 1.25 \times 10^ - 7 , 1.92 \times 10^ - 8 , 5.66 \times 10^ - 9 respectively. For the decay Br(\rmB^ + \to \textπ^ + f_0(980)\textπ^ + \textπ^ - ) , the pQCD prediction agrees very well with currently available experimental upper limits, 1.5 \times 10^ - 6 . Compared with the experimental data, we can see that the calculation including vertex corrections and \rms\bar s component contribution are more accurate and reliable than the results before, and the main changes come from the \rms\bar s component contribution.

     

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