Guang-Zhi Xu, Yi-Jie Li, Kui-Yong Liu, Yu-Jie Zhang
The relativistic corrections to the color-octet J/psi hadroproduction at the Tevatron and LHC are calculated up to O(v^2) in nonrelativistic QCD factorization frame. The short distance coefficients are obtained by matching full QCD with NRQCD results for the subprocess g+g -> J/psi (1S08,3S18,3PJ8)+g. The short distance coefficient ratios of relativistic correction to LO for CO states 1S08, 3S18, and 3PJ8 at large p_T are approximately -5/6, -11/6, and -31/30 respectively, and it is 1/6 for color singlet state 3S11. If the long distance matrix elements are estimated through velocity scaling rule with adopting v^2=0.23, the LO cross sections of color-octet states are reduced by about a factor of 20~40% at large p_T at both Tevatron and LHC. These results indicate that relativistic corrections may play an important role in J/psi production and polarization at the Tevatron and LHC.
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http://arxiv.org/abs/1203.0207
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