# $xF_3(x,Q^2)$ Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction

## TL;DR

This paper analyzes the $xF_3$ structure function and GLS sum rule, incorporating nuclear effects and higher twist corrections at NNLO, and compares results with experimental data to improve understanding of nucleon structure.

## Contribution

It introduces a comprehensive NNLO analysis of $xF_3$ and GLS sum rule including nuclear and higher twist effects, extending previous studies.

## Key findings

- Results are consistent with experimental data.
- Nuclear effects significantly modify the structure function and sum rule.
- Higher twist contributions are quantitatively extracted and incorporated.

## Abstract

We present an analysis of the $xF_3(x,Q^2)$ structure function and Gross-Llewellyn Smith(GLS) sum rule taking into account the nuclear effects and higher twist correction. This analysis is based on the results presented in "N. M. Nath et al., Indian J Phys 90(1), 117 (2016)". The corrections due to nuclear effects predicted in several earlier analysis are incorporated to our results of $xF_3(x,Q^2)$ structure function and GLS sum rule for free nucleon, corrected upto next-next-to-leading order (NNLO) perturbative order and calculate the nuclear structure function as well as sum rule for nuclei. In addition, by means of a simple model we have extracted the higher twist contributions to the non-singlet structure function $xF_3(x,Q^2)$ and GLS sum rule in NNLO perturbative orders and then incorporated them to our results. Our NNLO results along with nuclear effect and higher twist corrections are observed to be compatible with corresponding experimental data and other phenomenological analysis.