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

Kai Wang; Yan-Qing Ma; K. Chao

Paper

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

Abstract

With nonrelativistic QCD factorization, we calculate the

prompt production at hadron colliders at next-to-leading order in

. In addition to the color-singlet contribution, color-octet channels (especially the P-wave channel) up to

are all considered. Aside from direct production, the feed-down contributions from higher excited S-wave and P-wave

states to

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:

and

. By fitting the Tevatron data we can determine some linear combinations of these LDMEs, and then use them to predict

production at the LHC. Our predictions are consistent with the new experimental data of CMS and LHCb.