Yields and polarizations of prompt $jpsi$ and $psits$ production in hadronic collisions

We give predictions of $jpsi$ and $psits$ yields and polarizations in prompt production at hadron colliders based on non-relativistic QCD factorization formula. We calculate short-distance coefficients of all important color-octet intermediate channels as well as color-singlet channels up to $mathcal{O}(alpha_S^4)$, i.e. next-to-leading order in $alpha_S$. For prompt $jpsi$ production, we also take into account feeddown contributions from $chi_{cJ}$(J=0,1,2) and $psits$ decays. Color-singlet long-distance matrix elements (LDMEs) are estimated by using potential model, and color-octet LDMEs are extracted by fitting the Tevatron yield data only. The predictions are satisfactory for both yields and polarizations of prompt $jpsi$ and prompt $psits$ production at the Tevatron and the LHC. In particular, we find our predictions for polarizations of prompt $jpsi$ production have only a little difference from our previous predictions for polarizations of direct $jpsi$ production.

$Upsilon(nS)$ and $chi_b(nP)$ production at hadron colliders in nonrelativistic QCD

$Upsilon(nS)$ and $chi_b(nP)$ (n=1,2,3) production at the LHC is studied at next-to-leading order in $alpha_s$ in nonrelativistic QCD. Feeddown contributions from higher $chi_b$ and $Upsilon$ states are all considered for lower $Upsilon$ cross sections and polarizations. The long distance matrix elements (LDMEs) are extracted from the yield data, and then used to make predictions for the $Upsilon(nS)$ polarizations, which are found to be consistent with the measured polarization data within errors. In particular, the $Upsilon(3S)$ polarization puzzle can be understood by a large feeddown contribution from $chi_b(3P)$ states. Our results may provide a good description for both cross sections and polarizations of prompt $Upsilon(nS)$ and $chi_b(nP)$ production at the LHC.