Bottomonia production in p+p collisions under NRQCD formalism

TL;DR

This paper calculates bottomonia production cross sections in proton-proton collisions using NRQCD, extracting LDMEs from experimental data to improve theoretical predictions across various energies and rapidities.

Contribution

It offers a refined extraction of LDMEs for bottomonia using extensive data, enhancing the accuracy of NRQCD-based production models.

Findings

Good description of bottomonia data across wide pT range

Improved precision in LDME extraction from multiple datasets

Effective inclusion of feed down contributions from higher states

Abstract

In this work, we present the calculation of the production cross sections of bottomonia states using Non-Relativistic Quantum Chromodynamics (NRQCD) formalism. The direct production cross-section of a resonance can be factorised in terms of short distance Quantum Chromodynamics (QCD) cross sections and long distance matrix elements (LDMEs) under NRQCD. We use a large set of measured $\Upsilon$(nS) production data at Tevatron and LHC energies in both central and forward rapidity regions to extract the LDMEs with better precision. The feed down contributions from the higher states including the $\chi_{b}$(3P) state are taken into account for the LDME extraction. The formalism provides a good description of the bottomonia data in wide transverse momentum range at different collision energies.