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Following the nonrelativistic QCD factorization scheme, by taking latest available measurement on $\chi_b(3P)$ into consideration, we present an updated study on the yield and polarization of $\Upsilon(1S,2S,3S)$ hadroproduction, and the fractions of $\chi_b(mP)$ feed-down in $\Upsilon(nS)$ production at QCD next-to-leading order.
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