arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2104.01562hep-ph
收藏

辐射轻子D介子衰变的次超前幂因子化

Factorization of radiative leptonic D-meson decay with sub-leading power corrections

Long-Sheng Lu

摘要:

在这项工作中,我们计算了辐射轻子$D\toγ\,\ell \,ν$衰变的次领先功率的贡献。首次给出了次领先功率贡献的解析表达式和与${\cal O}(Λ_{\rm QCD}/m_c)$功率扩展相关的误差估计。在计算中,我们采用了两种不同的$D$介子分布振幅模型:$ϕ_{D,\rm I}^+$和$ϕ_{D,\rm II}^+$ .在QCD因子分解和色散关系的框架内,我们评估了软贡献的下一个领先的对数精度,和更高的扭曲贡献的两个粒子和三个粒子的分布振幅也被认为是。最后,我们发现,所有的子领先的功率贡献是显着的$λ_D(μ_0)=354\,\rm MeV$,和次领先的功率贡献将导致$ϕ_{D,\rm I}^+$中的$143\%$和$ϕ_{D,\rm II}^+$中的$120\%$与$E_γ=0.5\,\rm GeV$的领先功率矢量形状因子的校正。由于高扭曲和局域次超前功率贡献的修正随着逆矩的增大而增强,因此很难提取出合适的$D$介子分布振幅的逆矩.预测的支化分数分别为$ϕ_{D,\rm I}^+$的$(1.88_{-0.29}^{+0.36})\times10^{-5}$和$ϕ_{D,\rm II}^+$的$(2.31_{-0.54}^{+0.65})\times10^{-5}$。

英文摘要:

In this work, we calculate the sub-leading power contributions to the radiative leptonic $D\toγ\,\ell \,ν$ decay. For the first time, we provide the analytic expressions of next-to-leading power contributions and the error estimation associated with the power expansion of ${\cal O}(Λ_{\rm QCD}/m_c)$. In our calculation, we adopt two different models of the $D$-meson distribution amplitudes $ϕ_{D,\rm I}^+$ and $ϕ_{D,\rm II}^+$. Within the framework of the QCD factorization as well as the dispersion relation, we evaluate the soft contribution up to the next-to-leading logarithmic accuracy, and the higher-twist contribution from the two-particle and three-particle distribution amplitudes is also considered. Finally, we find that all the sub-leading power contributions are significant at $λ_D(μ_0)=354\,\rm MeV$, and the next-to-leading power contributions will lead to $143\%$ in $ϕ_{D,\rm I}^+$ and $120\%$ in $ϕ_{D,\rm II}^+$ corrections to leading power vector form factors with $E_γ=0.5\,\rm GeV$. As the corrections from the higher-twist and local sub-leading power contributions will be enhanced with the growing of the inverse moment, it is difficult to extract an appropriate inverse moment of the $D$-meson distribution amplitude. The predicted branching fractions are $(1.88_{-0.29}^{+0.36})\times10^{-5}$ for $ϕ_{D,\rm I}^+$ and $(2.31_{-0.54}^{+0.65})\times10^{-5}$ for $ϕ_{D,\rm II}^+$, respectively.

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。

↑