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.

15 pages, 14 figures, the language is slightly changed

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• The color dipole model bounds with the gluon-gluon recombination correction
• Nonlinear corrections on the parameterization methods
• Small-x analysis on the effect of gluon recombinations inside hadrons in light of the GLR-MQ-ZRS equation
• On phenomenological study of the solution of nonlinear GLR-MQ evolution equation beyond leading order
• An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method
• Non-linear corrections to the longitudinal structure function $F_L$ from the parametrization of $F_2$: Laplace transform approach