Additional corrections to the Gross-Llewellyn Smith sum rule

We investigate some QCD corrections that contribute to the Gross-Llewellyn Smith 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 Gross-Llewellyn Smith sum rule, with particular attention to contributions arising from strange quark distributions and from charge symmetry violating parton distributions. We find that additional corrections from strange quarks and parton charge symmetry violation 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.