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

B. A. Kniehl; M. A. Nefedov; V. A. Saleev

Paper

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

Abstract

The hadroproduction of the radially excited heavy-quarkonium states

and

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

and the relative heavy-quark velocity

. A satisfactory description of the

transverse-momentum (

) distributions measured by ATLAS, CMS, and LHCb at center-of-mass energy

TeV is obtained using the color-octet long-distance matrix elements (LDMEs) extracted from CDF data at

TeV. The importance of the fragmentation mechanism and the scale evolution of the fragmentation functions in the upper

range, beyond 30 GeV, is demonstrated. The

distributions measured by CDF at

TeV and by LHCb at

TeV and forward rapidities are well described using LDMEs fitted to ATLAS data at

TeV. Comparisons of polarization measurements by CDF and CMS at large

values with our predictions consolidate the familiar problem in the

case, but yield reasonable agreement in the

case.