Relations between neutrino and antineutrino locality theorems as tests of Lorentz structure of the neutral weak interaction

Assuming lepton locality and Born approximation, crossing relates the locality theorems for corresponding neutrino and antineutrino scattering if only the vector and axial-vector covariants occur in the neutral weak interaction. In general, these crossing relations are violated if other covariants are present. Various crossing relations can help to pin down the parity and charge-conjugation properties of the other covariants (if present).