Matching next-to-leading-order and high-energy-resummed calculations of heavy-quarkonium-hadroproduction cross sections

A bstract The energy dependence of the total hadroproduction cross section pseudoscalar quarkonia is computed via matching Next-to-Leading Order (NLO) Collinear-Factorisation (CF) results with resummed higher-order corrections, proportional to $$ {\alpha}_s^n{\ln}^{n-1} α s n ln − 1 (1 /z ), CF hard-scattering coefficient, where z = M 2 / \hat{s} ̂ and being quarkonium mass partonic center-of-mass squared. resummation performed using High-Energy Factorisation (HEF) in Doubly-Logarithmic (DL) approximation, which a subset leading logarithmic ln(1 ) approximation. Doing so, one remains strictly consistent NLO NNLO DGLAP evolution PDFs. By improving treatment small- asymptotics coefficient function, cures unphysical calculation. directly -space and, for first time, by Inverse-Error Weighting (InEW) procedure. As by-product calculation, term {\alpha}_s^2 2 predicted from HEF.