论文标题
具有QED效果的重介子的轻锥分布振幅
Light-cone distribution amplitudes of heavy mesons with QED effects
论文作者
论文摘要
我们讨论了重型介子的QED QED将军的轻锥分布幅度，这些分布幅度振幅为QCD $ \ times $ QED分解定理，用于独家的两体$ B $衰减。在存在电动颗粒的情况下，应将这些功能更恰当地视为重静脉腐烂的软功能，分为两个背对背颗粒。在本文中，我们得出了这些软函数的单环异常维度，并研究了它们在重新规模的演化下的行为，从而在拉普拉斯空间中获得了精确的溶液。此外，我们为在电磁耦合中的强函数和一阶提供了软函数和分析解决方案的数值解决方案。对于逆（和逆向载体）矩，我们在两个耦合中获得了全阶解。我们进一步为反向矩提供了QED校正的数值估计值。
We discuss the QED-generalized leading-twist light-cone distribution amplitudes of heavy mesons, that appear in QCD$\times$QED factorization theorems for exclusive two-body $B$ decays. In the presence of electrically charged particles, these functions should be more appropriately regarded as soft functions for heavy-meson decays into two back-to-back particles. In this paper, we derive the one-loop anomalous dimension of these soft functions and study their behaviour under renormalization-scale evolution, obtaining an exact solution in Laplace space. In addition, we provide numerical solutions for the soft functions and analytical solutions to all orders in the strong and to first order in the electromagnetic coupling. For the inverse (and inverse-logarithmic) moments, we obtain an all-order solution in both couplings. We further provide numerical estimates for QED corrections to the inverse moments.
