An updated study of Υ production and polarization at the Tevatron and LHC

Following the nonrelativistic QCD factorization scheme, by taking the latest available measurements of chi(bJ) (3P) into consideration, we present an updated study on the yield and polarization of Upsilon(1S, 2S, 3S) hadroproduction, and the fractions of chi(bJ) (MP) feed-down in Upsilon(nS) production at QCD next-to-leading order. In the fitting, three schemes are applied with different choices of chi(bJ)(mP) feed-down ratios and NRQCD factorization scale. The results can explain the measurements of yield very well. The polarization puzzle to Upsilon(3S) is now solved by considering the chi(bJ)(3P) feed-down contributions. The ratio of sigma[chi(b2)(1P)]/sigma[chi(b1)(1P)] measured by the CMS experiment can also be reproduced in our prediction. Among the different schemes, the results show little difference, but there are sizeable differences for the fitted long-distance color-octet matrix elements. This may bring large uncertainties when the values are applied in theoretical predictions for other experiments such as those at ee, ep colliders.