Υ(nS) and χb(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)(n(P)) production at the LHC.