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 X_(bJ)(3P)into consideration,we present an updated study on the yield and polarization of Υ(1S,2S,3S) hadroproduction,and the fractions of x_(bJ)(mP)feed-down in Υ (nS) production at QCD next-to-leading order.In the fitting,three schemes are applied with different choices of x_(bJ)(mP) feed-down ratios and NRQCD factorization scale.The results can explain the measurements of yield very well.The polarization puzzle to γ(3S) is now solved by considering the x_(bJ)(3P) feed-down contributions.The ratio of σ[x_(b2)(1P)]/σ[x_(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.