Factorization Theorem Connecting the Light-Cone Distribution Amplitudes of Heavy-Flavor Mesons in QCD and Heavy-Quark Effective Theory
Factorization Theorem Connecting the Light-Cone Distribution Amplitudes of Heavy-Flavor Mesons in QCD and Heavy-Quark Effective Theory
复制标题
连接QCD中重味介子轻锥分布振幅与重夸克有效理论的因式分解定理
DOI：
10.1103/physrevlett.125.132001
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发表时间：
2020
影响因子：
8.6
通讯作者：
De-Shan Yang
中科院分区：
文献类型：
--
作者：
Saadi Ishaq;Yu Jia;Xiaonu Xiong;De-Shan Yang
重夸克有效理论（HQET）中定义的重-轻介子的光锥分布振幅（LCDA）是解释无数介子专属衰变和产生过程的基本非微扰输入。另一方面，QCD中定义的传统重味介子LCDA也无处不在地进入到硬独占生产过程的分解公式中。在观察到这两个LCDA具有相同的红外行为，但在紫外尺度上不同的启发下，我们提出了一个新的重-轻介子的分解定理，即QCD中定义的LCDA可以进一步表示为HQET中LCDA与微扰可计算系数函数之间的卷积，这是由于渐近自由。这个重构程序可以被调用来从三个不同的尺度中完全分离影响，并且对于一个硬的排他性生产过程，特别是为了方便以系统的方式恢复类型和对数。
The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET) is a fundamental nonperturbative input to account for innumerablemeson exclusive decay and production processes. On the other hand, the conventional heavy-flavored meson LCDA defined in QCD also ubiquitously enters the factorization formula for hard exclusiveproduction processes. Inspired by the observation that these two LCDAs exhibit the identical infrared behaviors, yet differ in the ultraviolet scale of orderor greater, we propose a novel factorization theorem for the heavy-light mesons, that the LCDA defined in QCD can be further expressed as a convolution between the LCDA in HQET and a perturbatively calculable coefficient function thanks to asymptotic freedom. This refactorization program can be invoked to fully disentangle the effects from three disparate scales,, andfor a hard exclusiveproduction process, particularly to facilitate the resummation of logarithms of typeandin a systematic fashion.