论文标题
$ b_c $的衰减常数的三环QCD校正
Three-loop QCD corrections to the decay constant of $B_c$
论文作者
论文摘要
在非递归QCD（NRQCD）分解的框架内，我们将三环QCD校正计算为$ b_c $的衰减常数。我们重建了三环重新归一化常数的分析表达式以及与NRQCD中两个不同重型风味组成的伪尺度电流相关的相应异常尺寸，这是魅力和底部夸克质量之间比率的函数。同时，以非常高的数值精度获得短距离系数。三循环QCD校正结果绝大部分。还解决了这一新的辐射校正对$ B_C $ Leptonic衰减的现象学意义。
Within the framework of nonrelativistic QCD (NRQCD) factorization, we compute the three-loop QCD corrections to the decay constant of $B_c$. We reconstruct the analytical expressions for the three-loop renormalization constant and the corresponding anomalous dimension affiliated with the pseudoscalar current composed of two different heavy flavors in NRQCD, which are functions of the ratio between the charm and bottom quark masses. Meanwhile, the short-distance coefficient is obtained with very high numerical accuracy. The three-loop QCD correction turns out to be overwhelmingly large. The phenomenological implication of this new piece of radiative corrections for the $B_c$ leptonic decay is also addressed.
