Right-Handed Vector V and Axial A Couplings in Weak Interactions
Acta Physica Polonica Series B
Abstract
In this paper a scenario admitting the participation of the righthanded vector V R and axial A R couplings with the conservation of the left-handed standard (V, A) L couplings is considered. The research is based on the muon capture by proton. We consider muon capture at the level of the Fermi theory, whose hamiltonian describes the four-fermion point (contact) 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 Todd and T -even. That would be a test verifying the participation of the (V, A) R couplings in muon capture. The measurements of nuclear observables and of longitudinal neutrino polarization do not offer such possibilities because of the suppressing of interferences between the (V, A) L and (V, A) R couplings caused by the neutrino mass. Using the current data from µ-decay and inverse µ-decay, the magnitude of effects coming from the transverse components of the neutrino polarization can be determined. 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 W R received from the weak interaction processes at low energy.
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