Regge-like initial input and evolution of non-singlet structure functions from DGLAP equation up to next-next-to-leading order at low x and low Q 2

Abstract

This is an attempt to study how the features of Regge theory, along with QCD predictions, lead towards the understanding of unpolarized non-singlet structure functions \(F_{2}^{\text {NS}} (x,Q^{2} )\) and xF3(x,Q2) at low x and low Q2. Combining the features of perturbative quantum chromodynamics (pQCD) and Regge theory, an ansatz for \(F_{2}^{\text {NS}} (x,Q^{2})\) and xF3(x,Q2) structure functions at small x was obtained, which when used as the initial input to Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) equation, gives the Q2 evolution of the non-singlet structure functions. The non-singlet structure functions, evolved in accordance with DGLAP evolution equations up to next-next-to-leading order are studied phenomenologically in comparison with the available experimental and parametrization results taken from NMC, CCFR, NuTeV, CORUS, CDHSW, NNPDF and MSTW Collaborations and a very good agreement is observed in this regard.