  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.
