https://doi.org/10.1140/epjc/s10052-024-12690-0
Regular Article - Theoretical Physics
Towards higher-order calculations of quarkonia production with 
-factorization: P-wave charmonia
1
P.N. Lebedev Institute of Physics, 119991, Moscow, Russia
2
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
3
Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russia
4
Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
5
School of Nuclear Science and Technology, University of Chinese Academy of Sciences, 100049, Beijing, China
Received:
2
November
2023
Accepted:
17
March
2024
Published online:
2
April
2024
Inclusive P-wave charmonia production in hadronic collisions at high energies is discussed in the framework of non-relativistic QCD and -factorization formalism. We present two consistent approaches to merge the usual leading order -factorization calculations with tree-level next-to-leading order off-shell amplitudes. Using these prescriptions, we extracted long-distance matrix elements for 
mesons from a combined fit to available Tevatron and LHC data. In contrast to previous (leading order) calculations, our fits do not rule out the equalness of the color singlet wave functions of 
and 
states. The extracted values of long-distance matrix elements are employed to analyse the polarization data reported recently by the CMS Collaboration. Our predictions are in a reasonably good agreement with the Tevatron and LHC measurements within the theoretical and experimental uncertainties.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
