Additional Corrections to the Gross-Llewellyn Smith Sum Rule

TL;DR

This paper examines previously overlooked QCD corrections, including strange quark and charge symmetry violating contributions, which may slightly reduce the discrepancy between experimental data and theoretical predictions of the GLS sum rule.

Contribution

It introduces new corrections to the GLS sum rule from strange quarks and CSV distributions, refining previous analyses.

Findings

Corrections from strange quarks are small but significant.

Charge symmetry violation effects can impact the sum rule.

These corrections may help reconcile experimental and theoretical values.

Abstract

We investigate some QCD corrections that contribute to the Gross-Llewellyn Smith (GLS) sum rule, but have not been included in previous analyses of it. We first review the techniques by which the xF3 structure function is extracted from combinations of neutrino and antineutrino cross sections. Next we investigate corrections to the GLS sum rule, with particular attention to contributions arising from strange quark contributions and from charge symmetry violating (CSV) parton distributions. We find that additional corrections from strange quarks and parton CSV are likely to have a small but potentially significant role in decreasing the current discrepancy between the experimental and theoretical estimates of the Gross-Llewellyn Smith sum rule.