Neutrino-nucleon scattering and xF3(x, Q2) structure function from leading order and next-to-leading order DGLAP evolution equation at small-x

TL;DR

This paper calculates the xF3 structure function in neutrino-nucleon scattering at small-x using LO and NLO DGLAP equations, compares results with data, and discusses nuclear effects.

Contribution

It provides a novel solution method for the DGLAP evolution equations at small-x for xF3, including NLO corrections, and compares with experimental data.

Findings

Results agree with recent experimental data

Nuclear effects influence xF3 structure function

NLO corrections improve the theoretical predictions

Abstract

Neutrino-nucleon scattering, which produces the parity violating term, xF3(x,Q2) the non-singlet hadron structure function in their weak interaction has significant contribution towards the understanding of valence quark distribution for low-Q2 and small-x region inside hadrons. Here x is the fractional momentum of partons and Q2 is the four momentum transfer in a deep inelastic scattering process. In this paper, the xF3(x,Q2) structure function has been obtained by solving the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equation in leading order and next-to-leading order at small-x limit by using the method to get unique solution. The results are compared with recent experimental data and parametrizations. Also a qualitative discussion of nuclear effect in xF3(x,Q2) is done in this regards.