Majorana Phase And Matter Effects In Neutrino Chiral Oscillation

Abstract

Due to finite masses and mixing, for neutrinos propagation in space-time, there is a chiral oscillation between left- and right- chiral neutrinos, besides the usual oscillation between different generations. The probability of chiral oscillation is suppressed by a factor of $m^2/E^2$ making the effect small for relativistic neutrinos. However, for non-relativistic neutrinos, this effect can be significant. In matter, the equation of motion is modified. When neutrinos produced in weak interaction pass through the matter, the eigen-energies are split into two different ones depending on the helicity of the neutrino. This results in different oscillation behavior for neutrinos with different helicity, in particular there is a new resonant effect related to the helicity state of neutrino different than the usual MSW effect. For Majorana neutrinos, chiral oscillation also depends on Majorana phases.

7 pages, 3 figures, published version

References in corpus (2)

• Parity Violation and Chiral Oscillation of Cosmological Relic Neutrinos
• Chiral oscillations in the non-relativistic regime

Cited by in corpus (1)

• The probability for chiral oscillation of Majorana neutrino in Quantum Field Theory