https://doi.org/10.1140/epjc/s10052-014-2997-x
Regular Article - Theoretical Physics
Right-handed chirality of muon neutrinos in polarized muon decay at rest
Institute of Theoretical Physics, University of Wrocław, Pl. M. Born 9, 50-204 , Wrocław, Poland
* e-mail: wieslaw.sobkow@ift.uni.wroc.pl
Received:
12
March
2014
Accepted:
23
July
2014
Published online:
12
August
2014
In this paper, we analyze the polarized muon decay at rest admitting the non-standard interaction in addition to the standard
interaction. We show that the angle–energy distribution of Dirac muon neutrinos (
’) is sensitive to the interference terms between the standard
coupling of left-chirality
and exotic
coupling of right-chirality one, which are proportional to the transverse components of
spin polarization. The interferences do not vanish in the limit of massless
and include the relative phases to test the CP violation. It allows one to calculate a neutrino flux for an assumed configuration of detector in the case of standard model prediction, and the upper limits on the neutrino flux for the left–right
mixture. It is also demonstrated that the effects of neutrino mass and mixing are tiny corrections and can be omitted. The most important conclusion is that even in the massless
limit, there are physical effects connected with the mixture of left- and right-handed helicity components in a spin
quantum state, when the exotic interaction
is admitted, contrary to the electron observables, where all the possible interferences vanish.
© SIF and Springer-Verlag Berlin Heidelberg, 2014