Analytical approach for the solution of the nonlinear GLR-MQ equation

Abstract

The present paper reports the effect of nonlinear corrections to the behaviour of gluon distribution in the Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) approach. Here the nonlinear GLR-MQ evolution equation is solved analytically in order to determine the x and Q 2 dependence of gluon distribution function. We observe that, the gluon distribution increases with increasing Q 2 and decreasing x, which is in agreement with the perturbative QCD fits at small-x, however this particular behaviour of the gluon distribution function is tamed by the shadowing effects of gluon recombination. The obtained results of the nonlinear gluon distribution at the hot spot are compared with different global parton analysis as well as with those obtained from the solution of the modified-DGLAP (MD-DGLAP) equation and are found to be quite compatible.

Nonlinear corrections on the parametrization methods

“…Some studies of the nonlinear behavior of PDFs have been given in Refs. [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] in recent years.…”