Right-Handed Vector V and Axial A Couplings in Weak Interactions

Abstract

In this paper a scenario admitting the participation of right-handed vector V and axial A couplings with the conservation of the left-handed standard (V, A) couplings is considered. The research is based on the muon capture by proton. We consider muon capture at the level of the Fermi theory (four-fermion point interaction). Neutrinos are assumed to be massive and to be Dirac fermions. We propose neutrino observables, it means transverse components of the neutrino polarization, both T-odd and T-even. That would be a unique test verifying the participation of the right-handed (V, A) couplings in muon capture. The effects of the transverse neutrino polarization connected with the right-handed (V, A) couplings may be of the order of 7%. Our considerations are model-independent. We give the lower bound of 305 GeV on the mass of the right-handed gauge boson. This limit is compatible with the current bounds on the mass of the right-handed vector boson received from the weak interaction processes at low energy.