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

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

2012-02-27

arxiv.org/abs/1202.6012v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 figures

Scientific paper

With nonrelativistic QCD factorization, we calculate the $\Upsilon(1S)$ prompt production at hadron colliders at next-to-leading order in $\alpha_s$. In addition to the color-singlet contribution, color-octet (CO) 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 $\Upsilon(1S)$ production are also included. We use the potential model estimates as input for color-singlet (CS) long-distance matrix elements (LDMEs). While for CO 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 $\Upsilon(1S)$ production at the LHC. Our predictions are consistent with the new experimental data of CMS and LHCb.

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