Measurement of $xF_3$ and $F_2$ Structure Functions in Low $Q^2$ Region with the IHEP-JINR Neutrino Detector

TL;DR

This paper reports measurements of the structure functions $xF_3$ and $F_2$ in low $Q^2$ neutrino interactions, providing insights into QCD parameters and confirming consistency with previous experimental results.

Contribution

It presents the first measurements of $xF_3$ and $F_2$ in the low $Q^2$ region with a neutrino detector, and extracts QCD parameters consistent with other experiments.

Findings

Measured structure functions $xF_3$ and $F_2$ at low $Q^2$.

Determined $ ext{Lambda}_{ar{MS}}^{(4)}$ as 411 ± 200 MeV.

Estimated $ ext{alpha}_S(M_Z)$ as 0.123 with uncertainties.

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 of 6 to 28 GeV of incident neutrino (anti-neutrino) energy at the IHEP-JINR Neutrino Detector. The QCD analysis of $xF_3$ structure function provides $\Lambda_{\bar{MS}}^{(4)} = (411 \pm 200)$ MeV under the assumption of QCD validity in the region of low $Q^2$. The corresponding value of the strong interaction constant $\alpha_S (M_Z) = 0.123^{+0.010}_{-0.013}$ agrees with the recent result of the CCFR collaboration and with the combined LEP/SLC result.