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arXiv 1202.6012hep-ph
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非相对论QCD中Tevatron和LHC的$Υ(1S)$快速产生

$Υ(1S)$ prompt production at the Tevatron and LHC in nonrelativistic QCD

Kai Wang, Yan-Qing Ma, Kuang-Ta Chao

摘要:

利用非相对论QCD因子化方法,计算了强子对撞机上次领先级的$Υ(1S)$瞬发产生量$α_s$。除了颜色单重态贡献之外,颜色八重态通道(特别是P波通道)直到$O(v^4)$都被考虑。除了直接产生外,还包括较高激发S波和P波$b\bar b$态对$Υ(1S)$产生的反馈贡献。我们使用潜在的模型估计作为颜色单重长距离矩阵元素(LDMEs)的输入。而对于颜色八位组的贡献,我们发现它们可以近似地用三个LDME来描述:$\mo{}{3}{S}{1}{8}$,$\mo{}{1}{S}{0}{8}$和$\mo{}{3}{P}{0}{8}$。通过拟合Tevatron数据,我们可以确定这些LDME的一些线性组合,然后使用它们来预测LHC的$Υ(1S)$产生。我们的预测是一致的CMS和LHCb的新的实验数据。

英文摘要:

With nonrelativistic QCD factorization, we calculate the $Υ(1S)$ prompt production at hadron colliders at next-to-leading order in $α_s$. In addition to the color-singlet contribution, color-octet channels (especially the P-wave channel) up to $O(v^4)$ are all considered. Aside from direct production, the feed-down contributions from higher excited S-wave and P-wave $b\bar b$ states to $Υ(1S)$ production are also included. We use the potential model estimates as input for color-singlet long-distance matrix elements (LDMEs). While for color-octet contributions, we find they can be approximately described by three LDMEs: $\mo{}{3}{S}{1}{8}$, $\mo{}{1}{S}{0}{8}$ and $\mo{}{3}{P}{0}{8}$. By fitting the Tevatron data we can determine some linear combinations of these LDMEs, and then use them to predict $Υ(1S)$ production at the LHC. Our predictions are consistent with the new experimental data of CMS and LHCb.

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