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We present a complete evaluation for $\jpsi(\psip)$ prompt production at theTevatron and LHC at next-to-leading order in nonrelativistic QCD, includingcolor-singlet, color-octet, and higher charmonia feeddown contributions. Theshort-distance coefficients of $\pj$ at next-to-leading order are found to belarger than leading order by more than an order of magnitude but with a minussign at high transverse momentum $p_T$. Two new linear combinations ofcolor-octet matrix elements are obtained from the CDF data, and used to predict$\jpsi$ production at the LHC, which agrees with the CMS data. The possibilityof $\sa$ dominance and the $\jpsi$ polarization puzzle are also discussed.

J/psi (psi') production at the Tevatron and LHC at O(\alpha_s^4v^4) in nonrelativistic QCD