QED对$Υ$衰变终点附近色单态$\jpsi$产生的贡献
QED Contribution to the Color-Singlet $\jpsi$ Production in $Υ$ Decay Near the Endpoint
摘要:
最近的研究表明,$Υ\to \jpsi + X$衰变的$α^2α_s^2$级QED过程与QCD过程是相容的。然而,在端点区域,非相对论QED(NRQED)的计算失败,因为共线自由度的框架下,这个有效的理论框架下丢失。本文应用软共线有效理论(SCET)研究了运动学极限下的色单重态QED过程。在这种方法中,我们能够使用SCET的重整化群方程运行运营商,这将导致一个戏剧性的变化,在端点附近的动量分布和频谱形状与实验结果一致的运动学方程。
英文摘要:
A recent study indicates that the $α^2α_s^2$ order QED processes of $Υ\to \jpsi + X$ decay are compatible with those of QCD processes. However, in the endpoint region, the Non-relativistic QED (NRQED) calculation breaks down since the collinear degrees of freedom are missing under the framework of this effective theory. In this paper we apply the soft collinear effective theory (SCET) to study the color-singlet QED process at the kinematic limit. Within this approach we are able to sum the kinematic logarithms by running operators using the renormalization group equations of SCET, which will lead to a dramatic change in the momentum distribution near the endpoint and the spectrum shape consistent with the experimental results.
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