Year: 2012
Type: article
Abstract: With nonrelativistic QCD factorization, we calculate the $\ensuremath{\Upsilon}(1S)$ prompt production at hadron colliders at next-to-leading order in ${\ensuremath{\alpha}}_{s}$. 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 $b\overline{b}$ states to $\ensuremath{\Upsilon}(1S)$ 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: $⟨\mathcal{O}(^{3}S_{1}^{[8]})⟩$, $⟨\mathcal{O}(^{1}S_{0}^{[8]})⟩$ and $⟨\mathcal{O}(^{3}P_{0}^{[8]})⟩$. By fitting the Tevatron data we can determine some linear combinations of these LDMEs, and then use them to predict $\ensuremath{\Upsilon}(1S)$ production at the LHC. Our predictions are consistent with the new experimental data of CMS and LHCb.
Authors: Kai Wang, Yan-Qing Ma, Kuang-Ta Chao
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1778959626