Relativistic Correction to J/\psi Production at Hadron Colliders

Understand

Relativistic corrections to the color-singlet J/\psi hadroproduction at the Tevatron and LHC are calculated up to O(v^2) in nonrelativistic QCD (NRQCD).

• The short distance coefficients are obtained by matching full QCD with NRQCD results for the subprocess g+g\to J/\psi+g.
• The long distance matrix elements are extracted from observed J/\psi hadronic and leptonic decay widths up to O}(v^2).
• Using the CTEQ6 parton distribution functions, we calculate the LO production cross sections and relativistic corrections for the process p+\bar{p}(p)\to J/\psi+X at the Tevatron and LHC.