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|Vcb| from the semileptonic decay BDν¯ and the properties of the D -meson distribution amplitude

机译: | V cb | 来自半瘦衰变 B D ν 和D介子分布振幅的性质

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摘要

The improved QCD light-cone sum rule (LCSR) provides an effective way to deal with the heavy-to-light transition form factors (TFFs). Firstly, we adopt the improved LCSR approach to deal with the TFF up to twist-4 accuracy. Due to the elimination of the most uncertain twist-3 contribution and the large suppression of the twist-4 contribution, the obtained LCSR shall provide us a good platform for testing the D -meson leading-twist DA. For the purpose, we suggest a new model for the D -meson leading-twist DA ( ), whose longitudinal behavior is dominantly determined by a parameter B . Moreover, we find its second Gegenbauer moment . Varying B within certain region, one can conveniently mimic the D -meson DA behavior suggested in the literature. Inversely, by comparing the estimations with the experimental data on the D -meson involved processes, one can get a possible range for the parameter B and a determined behavior for the D -meson DA. Secondly, we discuss the TFF at the maximum recoil region and present a detailed comparison of it with the pQCD estimation and the experimental measurements. Thirdly, by applying the LCSR on , we study the CKM matrix element together with its uncertainties by adopting two types of processes, i.e. the -type and the -type. It is noted that a smaller shows a better agreement with the experimental value on . For example, for the case of , we obtain and , whose first (second) uncertainty comes from the squared average of the mentioned theoretical (experimental) uncertainties.
机译:改进的QCD圆锥总和规则(LCSR)提供了一种有效的方法来处理从重到轻的过渡形状因子(TFF)。首先,我们采用改进的LCSR方法来处理TFF,直到达到Twist-4精度。由于消除了最不确定的3号扭曲贡献并大大抑制了4号扭曲贡献,因此获得的LCSR将为我们提供一个测试D介导超扭曲DA的良好平台。为此,我们为D介子超前扭曲DA()提出了一个新模型,该模型的纵向行为主要由参数B确定。此外,我们找到了它的第二个盖根鲍尔时刻。在特定区域内改变B,可以方便地模仿文献中提出的D介子DA行为。相反,通过将估计值与涉及D介子的过程的实验数据进行比较,可以得到参数B的可能范围和D介子DA的确定行为。其次,我们讨论最大后坐力区域的TFF,并与pQCD估算值和实验测量值进行详细比较。第三,通过在上应用LCSR,我们通过采用两种类型的过程,即-type和-type,研究了CKM矩阵元素及其不确定性。请注意,较小的表示与上的实验值更好的一致性。例如,对于,我们获得和,其第一个(第二个)不确定性来自所提到的理论(实验)不确定性的平方平均值。

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