https://doi.org/10.1140/epjc/s10052-019-7365-4
Regular Article - Theoretical Physics
Bottomonia production and polarization in the NRQCD with 
-factorization. I: 
and 
mesons
1
Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russia
2
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, 119991, Russia
3
Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russia
* e-mail: lipatov@theory.sinp.msu.ru
Received:
13
September
2019
Accepted:
1
October
2019
Published online:
10
October
2019
The production and polarization at high energies is studied in the framework of -factorization approach. Our consideration is based on the non-relativistic QCD formalism for bound states formation and off-shell production amplitudes for hard partonic subprocesses. The transverse momentum dependent (TMD, or unintegrated) gluon densities in a proton were derived from the Ciafaloni-Catani-Fiorani-Marchesini (CCFM) evolution equation as well as from the Kimber–Martin–Ryskin (KMR) prescription. Treating the non-perturbative color octet transitions in terms of the multipole radiation theory and taking into account feed-down contributions from radiative decays, we extract the corresponding non-perturbative matrix elements for and mesons from a combined fit to transverse momenta distributions measured by the CMS and ATLAS Collaborations at the LHC energies 
and 13 TeV and central rapidities. Then we apply the extracted values to describe the CDF and LHCb data on production and to investigate the polarization parameters 
, 
and 
, which determine the spin density matrix. Our predictions have a good agreement with the currently available data within the theoretical and experimental uncertainties.
© The Author(s), 2019
