Test for scalar-boson-mediated weak-interaction theories in high-energy neutrino-scattering processes

Pais and Treiman have shown that in neutrino-scattering processes lepton-pair locality implies explicit dependence of the cross section on two-lepton-system variables. We suggest here that violation of their theorem occurring to the first order in the weak-interaction coupling constant in the scalar-boson-mediated theories may serve as an unambiguous test at energies much smaller than those required for production and subsequent tests on the weak bosons. In a typical model we find substantial violations of the lepton-energy-dependence theorem. On the contrary, violation of the angle-dependence theorem is small.