On analytical solutions of proton’s structure functions in the framework of GLR–MQ-ZRS equation

Abstract

We computed the deep inelastic scattering (DIS) structure functions F2(x,Q2) and FL(x,Q2) in the framework of Gribov–Levin–Ryskin–Mueller–Qiu, Zhu–Ruan–Shen (GLR–MQ–ZRS) equation. Both x and Q2 evolutions of the structure functions are studied in the kinematic range of 10−6≤x≤10−2 and 5≤Q2≤100GeV2 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 αs as an arbitrary constant, and (ii) considering the Q2 dependency of αs. Our predicted results are in good agreement with the latest available high precision HERA data.