Relativistic Correction to Color Octet J/psi Production at Hadron Colliders

Guanghua Xu; Yi-Jie Li; Kui-Yong Liu; Yu-Jie Zhang

Paper

Relativistic Correction to Color Octet J/psi Production at Hadron Colliders

Abstract

The relativistic corrections to the color-octet

hadroproduction at the Tevatron and LHC are calculated up to

in nonrelativistic QCD factorization frame. The short distance coefficients are obtained by matching full QCD with NRQCD results for the partonic subprocess

and

. The short distance coefficient ratios of relativistic correction to leading order for color-octet states

, and

at large

are approximately -5/6, -11/6, and -31/30, respectively, for each subprocess, and it is 1/6 for color-singlet state

. If the higher order long distance matrix elements are estimated through velocity scaling rule with adopting

and the lower order long distance matrix elements are fixed, the leading order cross sections of color-octet states are reduced by about a factor of

at large

at both the Tevatron and the LHC. Comparing with QCD radiative corrections to color-octet states, relativistic correction is ignored along with

increasing. Using long distance matrix elements extracted from the fit to

production at the Tevatron, we can find the unpolarization cross sections of

production at the LHC taking into account both QCD and relativistic corrections are changed by about

of that considering only QCD corrections. These results indicate that relativistic corrections may play an important role in

production at the Tevatron and the LHC.