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Heavy quarkonium production in the framework of the non-relativistic quantumchromodynamics and leading order of the parton Reggeization approach at theTevatron and LHC is discussed. In this note, we compare our predictions for thebottomonium production at the LHC due to the color-singlet approximation of thenon-relativistic quantum chromodynamics with CMS and LHCb data. It is found,that in the production of Upsilon(1S) states, the color-singlet mechanism isdominating, whereas to describe the data for the inclusive Upsilon(2S) andUpsilon(3S) production, the color- octet contributions should be taken intoaccount.

Heavy quarkonium production in the Regge limit of QCD: from Tevatron to LHC