Solution of DGLAP Evolution Equation for xF₃ Structure Function in Leading and Next-to-Leading Order at Small-x

Abstract

This report attempts to the phenomenological study of the charged-current neutrino deep-inelastic scattering (DIS) within the perturbative QCD framework. The study is based on the solution of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in leading and next-to-leading order at small-x for parity-violating DIS structure function 3 ( , 2 ) by means of Taylor expansion method. The solutions are analyzed phenomenologically in comparison with the experimental data taken from CCFR, NuTeV, CHORUS and CDHSW collaborations.