A global analysis of the experimental data on $χ_c$ meson hadroproduction

Lan Jia, Ling Yu, Hong-Fei Zhang

Published 2014-10-15Version 1

We carry out a global analysis on the experimental data on $\chi_c$ production rate and the ratio $\sigma(\chi_{c2})/\sigma(\chi_{c1})$ at the LHC and Tevatron. The related long-distance matrix elements (LDMEs) at both leading order (LO) and next-to-leading order (NLO) in QCD coupling constant are renewed. We also present the transverse momentum distribution of the $\chi_c$ production rate and the ratio $\sigma(\chi_{c2})/\sigma(\chi_{c1})$ for several experimental conditions, and find that NLO predictions agree with all sets of experiment measurements except for one. By contrast, at LO, we can not explain all the experiments by using a single LDME. A brief analysis on the non-relativistic QCD scale dependence of the cross sections shows that, for the conditions we concern in this paper, the dependence can almost be totally absorbed into the LDME.