Measurement of $xF_3$, $F_2$ Structure Functions and Gross--Llewellyn Smith Sum Rule with IHEP--JINR Neutrino Detector

TL;DR

This paper reports measurements of structure functions xF_3 and F_2 using neutrino interactions, evaluates the Gross-Llewellyn Smith sum rule, and derives the strong coupling constant alpha_S, with results suggesting a higher alpha_S than previous deep inelastic scattering studies.

Contribution

It provides new experimental measurements of structure functions and sum rules, and offers a QCD analysis leading to a determination of the strong coupling constant from neutrino data.

Findings

Measured xF_3 and F_2 as functions of x.

Calculated the Gross-Llewellyn Smith sum rule value.

Derived alpha_S(M_Z) = 0.120^{+3}_{-4}.

Abstract

The isoscalar structure functions xF_3 and F_2 are measured as functions of x averaged over all Q^2 permissible for the range 6 to 28 GeV of incident (anti)neutrino energy. With the measured values of xF_3, the value of the Gross-Llewellyn Smith sum rule is found to be $\int_{0}^{1}{F_3 dx} = 2.13\pm0.38 (stat)\pm 0.26 (syst)$. The QCD analysis of xF_3 provides $\Lambda_{\overline{MS}} =358 \pm 59 MeV$ . The obtained value of the strong interaction constant $\alpha_S (M_Z)=0.120^{+3}_{-4}$ is larger than most of the deep inelastic scattering results.