Violation of Adler's theorem in scalar theories of weak interactions

Abstract

We suggest here an experiment using neutrino scattering on nucleons to distinguish between the recently proposed scalar theory and the usual vector theory of weak interactions. The test is based on Adler's theorem, which states that in inelastic neutrino scattering on nucleons, no parity-violating effects can be seen in the parallel configuration (the direction of the momentum of the emitted lepton and the incident neutrino are same), provided the usual V-A theory with CVC is true. We find that if the laboratory energy of the neutrino is of the order of the mass of the scalar bosons, substantial violation of the theorem occurs, leading to parity-violating effects. Thus with the laboratory energy of the neutrino being 10 GeV, sizable parity-violating effects of the order of 10% exist if the mass of the scalar boson is 6 GeV.