Abstract

We have performed a systematic study of and production in p–p collisions at different Large Hadron Collider (LHC) energies and at different rapidities using the leading order non-relativistic quantum chromodynamics model of heavy quarkonium production. We have included the contributions from (J = 0, 1, 2) and decays to . The calculated values have been compared with the available data from the four experiments at LHC, namely ALICE, ATLAS, CMS and LHCb. In the case of ALICE, inclusive and cross-sections have been calculated by including the feed-down from B mesons using a fixed-order next-to-leading logarithm formalism. It is found that all the experimental cross-sections are well described for 3 GeV within the theoretical uncertainties arising due to the choices of the factorization and renormalization scales. We also predict the transverse momentum distributions of and both for the direct and feed-down processes at the upcoming LHC energies of 5.1 and 13 TeV for the year 2015.

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