Complete Next-to-Leading-Order Study on the Yield and Polarization of Υ(1S, 2S, 3S) at the Tevatron and LHC

Based on the nonrelativistic QCD factorization scheme, we present the first complete next-to-leading-order study on the yield and polarization of Upsilon(1S; 2S; 3S) hadroproduction. By using the color-octet long-distance matrix elements obtained from fits of the experimental measurements on Upsilon yield and polarization at the Tevatron and LHC, our results can explain the measurements on the yield very well, and for the polarizations of Upsilon(1S; 2S; 3S), they are in (good, good, bad) agreement with recent CMS measurement, but still have some distance from the CDF measurement.