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

Following the nonrelativistic QCD factorization scheme, by taking the latest available measurements of XbJ（3P） into consideration, we present an updated study on the yield and polarization of T（1S, 2S, 3S） hadropro- duction, and the fractions of Xbj（mP） feed-down in T（nS） production at QCD next-to-leading order. In the fitting, three schemes are applied with different choices of XDj（mP） feed-down ratios and NRQCD factorization scale. The results can explain the measurements of yield very well. The polarization puzzle to T（3S） is now solved by consid- ering the XbJ（3P） feed-down contributions. The ratio of σ[Xb2（1P）]/σ[Xbl（IP）] 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.