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 innumerable $B$ meson 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 exclusive $B$ production processes. Inspired by the observation that these two LCDAs exhibit the identical infrared behaviors, yet differ in the ultraviolet scale of order $m_b$ or 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 $Q$, $m_b$, and ${\mathrm{\Lambda }}_{\mathrm{QCD}}$ for a hard exclusive $B$ production process, particularly to facilitate the resummation of logarithms of type $\ln Q/m_b$ and $\ln m_b/{\mathrm{\Lambda }}_{\mathrm{QCD}}$ in a systematic fashion.

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QCD中重味介子轻锥体分布幅度的因子分解定理和重夸克有效理论

重夸克有效理论（HQET）中定义的重轻介子的光锥分布振幅（LCDA）是一个基本的无扰动输入，说明了无数 $乙$介子专有的衰变和生产过程。另一方面，QCD中定义的常规重味介子LCDA也无处不在地为硬排它输入因式分解公式$乙$生产过程。受到观察的启发，这两个LCDA表现出相同的红外行为，但紫外线阶数不同${米}_b$或更重要的是，我们提出了一个针对重轻介子的新颖分解定理，由于渐近自由，QCD中定义的LCDA可以进一步表示为HQET中LCDA和可微积分系数函数之间的卷积。可以调用此重构程序以完全消除三种不同比例的效果$问$， ${米}_b$和 ${\mathrm{\Lambda }}_{\mathrm{QCD}}$ 难得的独家 $乙$ 生产过程，特别是便于对数类型的对数的恢复 $\ln 问/{米}_b$ 和 $\ln {米}_b/{\mathrm{\Lambda }}_{\mathrm{QCD}}$ 以系统的方式