Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions

Abstract

We show that the local commutation relations of the vector and the axial-vector current octets can be studied in nonforward lepton-neutrino reactions. We do this by using the commutation relations to derive sum rules, for fixed ${q}^{2}$ (${q}^{2}$=invariant lepton momentum transfer squared), involving the elastic and the inelastic form factors measured in high-energy neutrino reactions.