NNLO solution of nonlinear GLR-MQ evolution equation to determine gluon distribution function using Regge like ansatz

Abstract

In this work we have suggested a solution of the Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) nonlinear evolution equation at next-to-next-to-leading order (NNLO). The range of $Q^2$ in which we have solved the GLR-MQ equation is Regge region of the range $5Ge{V}^2\le Q^2\le 25Ge{V}^2$ and so we have incorporated the Regge like behavior to obtain $Q^2$ evolution of gluon distribution function $G(x,Q^2)$. We have also checked the sensitivity of our results for different values of correlation radius (R) between two interacting gluons, viz. $R=2Ge{V}^{-1}$ and $R=5Ge{V}^{-1}$ as well as for different values of Regge intercept ${\lambda }_G$. Our computed results are compared with those obtained by the most recent global DGLAP fits to the parton distribution functions viz. PDF4LHC15, NNPDF3.0, HERAPDF15, CT14 and ABM12.

Comments: 15 pages, 14 figures, the language is slightly changed