论文标题
$ z \至υ（1s）+g+g $的研究在接下来的QCD准确性下
The studies on $Z \to Υ(1S)+g+g$ at the next-to-leading-order QCD accuracy
论文作者
论文摘要
在本文中，我们通过color-singlet（cs）$ b \ bar {b} $ state进行了$ z \ to到υ（1s）+g+g $的临近订单（NLO）研究。我们发现新计算的NLO QCD对此过程的校正可以显着影响其领先（LO）结果，并大大提高对重新归化量表的依赖性。通过包括大量的喂食贡献，分支比率$ \ MATHCAL {b} _ {z \ to到达（1s）+g+g} $被预计为$（0.56 \ sim 0.95）\ times 10^{ - 6} $，可以通过$ 19 \％\ sim 31 \％的$ progress of of sim \％\％$ υ（1s）+b+\ bar {b} $。此外，$ z \ to到υ（1s）+g+g $也严重影响$υ（1s）$能量分布的CS预测，尤其是当$ Z $相对较小时。总而言之，对于$ Z $衰减的包含$υ（1s）$ Productions，除了$ z \ to到υ（1s）+B+B+\ bar {b} $，Gluon辐射过程$ z \ to到达（1S）+g+g $还可以提供不可或缺的贡献。
In this paper, we carry out the next-to-leading-order (NLO) studies on $Z \to Υ(1S)+g+g$ via the color-singlet (CS) $b\bar{b}$ state. We find the newly calculated NLO QCD corrections to this process can significantly influence its leading-order (LO) results, and greatly improve the dependence on the renormalization scale. By including the considerable feeddown contributions, the branching ratio $\mathcal{B}_{Z \to Υ(1S)+g+g}$ is predicted to be $(0.56 \sim 0.95)\times 10^{-6}$, which can reach up to $19\% \sim 31\%$ of the LO predictions given by the CS dominant process $Z \to Υ(1S)+b+\bar{b}$. Moreover, $Z \to Υ(1S)+g+g$ also seriously affect the CS predictions on the $Υ(1S)$ energy distributions, especially when $z$ is relatively small. In summary, for the inclusive $Υ(1S)$ productions in $Z$ decay, besides $Z \to Υ(1S)+b+\bar{b}$, the gluon radiation process $Z \to Υ(1S)+g+g$ can provide indispensable contributions as well.
