论文标题
完整的三环QCD校正到矢量quarkonium的松弛宽度
Complete three-loop QCD corrections to leptonic width of vector quarkonium
论文作者
论文摘要
在非递归QCD（NRQCD）分解框架中，我们计算$α_S^3 $扰动校正$差的$υ$和$ J/ψ$具有高数值准确性的Leptonic衰减，并以最低的速度扩展。我们确认现有的三环文献结果。此外，我们明确考虑了复杂值的逐光（Singlet）贡献。我们还首次考虑了$υ$ Leptonic衰减的有限符号夸克质量效应，并获得了与与非零Charm Quark质量质量产生的相关的矢量电流相关的异常尺寸的新的3循环贡献。基于完整的三环NRQCD短距离系数，我们还为$υ（J/ψ）$ Leptonic宽度提供了全面的现象学分析。
Within the nonrelativistic QCD (NRQCD) factorization framework, we compute the order-$α_s^3$ perturbative corrections to the leptonic decay of the $Υ$ and $J/ψ$ with high numerical accuracy, at the lowest order in velocity expansion. We confirm the existing three-loop results in literature. Furthermore, we explicitly consider the complex-valued light-by-light (singlet) contributions. We for the first time also consider the finite charm quark mass effect for $Υ$ leptonic decay, and obtain a new piece of 3-loop contribution to the anomalous dimension related to the composite NRQCD bilinear of vector current that arises from the nonzero charm quark mass. Based on the complete three-loop NRQCD short-distance coefficients, we also present a comprehensive phenomenological analysis for $Υ(J/ψ)$ leptonic width.
