QCD Factorization for heavy quarkonium production at collider energies

In this talk, I briefly review several models of the heavy quarkonium production at collider energies, and discuss the status of QCD factorization for these production models.Comment: 7 pages, 12 figures, Talk presented at the Conference on Quark Confinement and Hadron Spectrum VII, Ponta Delgada, Portugal, 2-7 September, 200

Heavy quarkonium production in hadronic collisions in TMD framework

Heavy quarkonium ($\Upsilon$) production at low transverse momentum ($P_\perp$) in high-energy hadronic collisions is revisited from the point of view of transverse momentum dependent (TMD) framework. We perform resummation of double logarithmic correction associated with initial-state soft gluon shower for $b\bar b$ production by employing Collins-Soper-Sterman (CSS) formalism. We show that the CSS formalism provides a nice description of $\Upsilon$ production data in p+$\rm\bar{p}$ collisions at Tevatron and p+p collisions at the LHC.Comment: 6 pages, 2 figures, proceedings of QCD Evolution 2017, 22-26 May 2017, Newport News, VA-US