ψ(2S) and Υ(3S) hadroproduction in the parton Reggeization approach. Yield, polarization, and the role of fragmentation

The hadroproduction of the radially excited heavy-quarkonium states ψ(2S) and Υ(3S) at high energies is studied in the parton Reggeization approach and the factorization formalism of nonrelativistic QCD at lowest order in the strong-coupling constant α_s and the relative heavy-quark velocity υ. A satisfactory description of the ψ(2S) transverse-momentum (p_T) distributions measured by ATLAS, CMS, and LHCb at center-of-mass energy √(S)=7 TeV is obtained using the color-octet long-distance matrix elements (LDMEs) extracted from CDF data at √(S)=1.96 TeV. The importance of the fragmentation mechanism and the scale evolution of the fragmentation functions in the upper p_T range, beyond 30 GeV, is demonstrated. The Υ(3S) p_T distributions measured by CDF at √(S)=1.8 TeV and by LHCb at √(S)=7 TeV and forward rapidities are well described using LDMEs fitted to ATLAS data at √(S)=7 TeV. Comparisons of polarization measurements by CDF and CMS at large p_T values with our predictions consolidate the familiar problem in the ψ(2S) case, but yield reasonable agreement in the Υ(3S) case.