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In this paper, we analyze the scattering of the neutrino beam on thepolarized electron target, and predict the effects of two theoreticallypossible scenarios beyond the Standard Model. In both scenarios, Diracneutrinos are assumed to be massive.  First, we consider how the existence of CP violation phase between thecomplex vector V and axial A couplings of the Left-handed neutrinos affects theazimuthal dependence of the differential cross section. The future superbeamand neutrino factory experiments will provide the unique opportunity for theleptonic CP violation studies, if the large magnetized sampling calorimeterswith good event reconstruction capabilities are build.  Next, we take into account a scenario with the participation of the exoticscalar S coupling of the Right-handed neutrinos in addition to the standardvector V and axial A couplings of the Left-handed neutrinos. The main goal isto show how the presence of the R-handed neutrinos, in the above processchanges the spectrum of recoil electrons in relation to the expected StandardModel prediction, using the current limits on the non-standard couplings. Theinterference terms between the standard and exotic couplings in thedifferential cross section depend on the angle $\alpha$ between the transverseincoming neutrino polarization and the transverse electron polarization of thetarget, and do not vanish in the limit of massless neutrino. The detection ofthe dependence on this angle in the energy spectrum of recoil electrons wouldbe a signature of the presence of the R-handed neutrinos in theneutrino-electron scattering. To make this test feasible, the polarizedartificial neutrino source needs to be identified.Comment: 11 pages, 3 eps figures, revtex, submitted to publicatio

Scattering of neutrinos on a polarized electron target as a test for new physics beyond the standard model