Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function

Abstract

In this paper we have solved the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for gluon distribution function G(x,Q^2) and studied the effects of the nonlinear GLR-MQ corrections to the Leading Order (LO) Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations. Here we incorporate a Regge like behaviour of gluon distribution function to obtain the solution of GLR-MQ evolution equation. We have also investigated the Q^2-dependence of gluon distribution function from the solution of GLR-MQ evolution equation. Moreover it is interesting to observe from our results that nonlinearities increase with decreasing correlation radius (R) between two interacting gluons. Results also confirm that the steep behavior of gluon distribution function is observed at R=5 GeV^{-1}, whereas it is lowered at R=2 GeV^{-1} with decreasing x as Q^2 increases. In this work we have also checked the sensitivity of λ_G in our calculations. Our computed results are compared with those obtained by the global DGLAP fits to the parton distribution functions viz. GRV, MRST, MSTW and with the EHKQS model.

23 pages, 6 figures, 5th paragraph of introduction has been slightly changed. arXiv admin note: text overlap with arXiv:hep-ph/0211239, arXiv:hep-ph/9902411 by other authors

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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
• Beyond DGLAP improved saturation model
• Studies on gluon evolution and geometrical scaling in kinematic constrained unitarized BFKL equation: application to high-precision HERA DIS data
• Non-linear corrections to the longitudinal structure function $F_L$ from the parametrization of $F_2$: Laplace transform approach