Relation between the x-dependence of Higher Twist Contribution to $F_3$ and $g_1^p - g_1^n$ in the Light of the Recent Experimental Data

TL;DR

This paper investigates the relationship between higher twist contributions to polarized and unpolarized structure functions, finding a specific proportional relation valid at higher x values within NLO QCD framework based on recent experimental data.

Contribution

It establishes a proportional relation between higher twist contributions to $F_3$ and $g_1^p - g_1^n$ structure functions, supported by recent experimental results and NLO QCD analysis.

Findings

Relation ${1/3}h^{F_3}(x) oughly rac{6}{g_A}h^{g_1^p - g_1^n}(x)$ holds for $x \\geq 0.2$

Higher twist contributions are similar for polarized and unpolarized functions at high x

Supports the assumption that HT contributions to certain sum rules are comparable.

Abstract

We compare the recent results on the higher twist (HT) contribution to the nonsinglet combination $g_1^p - g_1^n$ of the polarized proton and neutron structure functions with that one to the unpolarized structure function $F_3$ using the assumption that the HT contributions to the Gross-Llewellyn Smith and the Bjorken sum rules are similar. We have found, that the relation ${1/3}h^{F_3}(x) \approx \frac{6}{g_A}h^{g_1^p - g_1^n}(x)$ is valid for $x \geq 0.2$ in the case of NLO QCD approximation for the leading term parts of the structure functions.