On analytical solutions of the DIS structure functions in the framework of GLR-MQ-ZRS equation

Abstract

We computed the deep inelastic scattering (DIS) structure functionsin the framework of Gribov-Levin-Ryskin-Mueller-Qiu, Zhu-Ruan-Shen (GLR-MQ-ZRS) equation.Both x and Q 2 evolutions of the structure functions are studied in the kinematic range of 10 −6 ≤ x ≤ 10 −2 and 5 ≤ Q 2 ≤ 100 , GeV 2 respectively. we have suggested analytical solutions to the structure functions, our results are inspired by Regge like behaviour of gluons at small-x.The solutions of structure functions are obtained for two particular cases: (i) treating the strong coupling constant α s as an arbitrary constant, and (ii) considering the Q 2 dependency of α s . Our predicted results are in good agreement with the latest available high precision HERA data.