Analytic derivation of the non-linear gluon distribution function

2021/10/22 by G. R. Boroun
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1140/epjp/s13360-022-02486-0

published as Eur.Phys.J.Plus 137 (2022) 2, 259 · arXiv admin note: text overlap with arXiv:2109.08878

arxiv created 2021/10/22 · arxiv updated 2022/04/19

Abstract

In the present article, two analytical solutions based on the Laplace transforms method for the linear and non-linear gluon distribution functions have been presented at low values of x. These linear and non-linear methods are presented based on the solutions of the Dokshitzer-Gribov- Lipatov-Altarelli-Parisi (DGLAP) evolution equation and the Gribov-Levin-Ryskin Mueller-Qiu (GLR-MQ) equation at the leading-order accuracy in perturbative QCD respectively. The gluon distributions are obtained directly in terms of the parametrization of structure function F₂(x,Q²) and its derivative and compared with the results from the parametrization models. The n_f changes at the threshold are considered in the numerical results. The effects of the non-linear corrections are visible as Q² decreases and vanish as Q² increases. The nonlinear corrections tame the behavior of the gluon distribution function at low x and Q² in comparison with the parametrization models.

Citations

• Non-linear corrections to the longitudinal structure function F_L from the parametrization of F₂: Laplace transform approach