J/ψ(ψ′) Production at the Tevatron and LHC at O(αs4υ4) in Nonrelativistic QCD

We present a complete evaluation for J/psi(psi`) prompt production at the Tevatron and LHC at next-to-leading order in nonrelativistic QCD, including color-singlet, color-octet, and higher charmonia feeddown contributions. The short-distance coefficients of P-3(J)[8] at next-to-leading order are found to be larger than leading order by more than an order of magnitude but with a minus sign at high transverse momentum p(T). Two new linear combinations of color-octet matrix elements are obtained from the CDF data, and used to predict J/psi production at the LHC, which agrees with the CMS data. The possibility of S-1(0)[8] dominance and the J/psi polarization puzzle are also discussed.