On the high-energy instability of quarkonium production

2023/09/18 by Maxim Nefedov, Nefedov, Maxim
Physics and Astronomy · Engineering · #Particle physics theoretical and experimental studies #Superconducting Materials and Applications #High-Energy Particle Collisions Research

paper · pdf · doi:10.48550/arxiv.2309.09608

Abstract

The perturbative instability of NLO collinear factorisation (CF) computations of p_T-integrated cross sections of heavy quarkonium production at high hadronic or photon-hadron collision energy is discussed. We resolve this problem via the matching of NLO CF computation with the resummation of higher-order corrections ∝ α_sⁿ ln^n-1(s/M²) at high partonic center of mass energies s≫ M². The resummation is performed in the Doubly-Logarithmic Approximation(DLA) of High-Energy Factorisation(HEF) formalism. We also report the results of the first computation of one-loop corrections to impact-factors involving heavy quark-antiquark pair in the intermediate states considered in the Non-Relativistic QCD (NRQCD) factorisation formalism for quarkonium production: QQ[¹S₀^[8] ] and QQ[¹S₀^[1] ]. These results are necessary for the extension of our resummation formalism beyond DLA.

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