Berry Phase in Neutrino Oscillations
arXiv:hep-ph/0412374 · doi:10.1103/PhysRevD.72.053012
Abstract
We study the Berry phase in neutrino oscillations for both Dirac and Majorana neutrinos. In order to have a Berry phase, the neutrino oscillations must occur in a varying medium, the neutrino-background interactions must depend on at least two independent densities, and also there must be CP violation if the neutrino interactions with matter are mediated only by the standard model W and Z boson exchanges which implies that there must be at least three generations of neutrinos. The CP violating Majorana phases do not play a role in generating a Berry phase. We show that a natural way to satisfy the conditions for the generation of a Berry phase is to have sterile neutrinos with active-sterile neutrino mixing, in which case at least two active and one sterile neutrinos are required. If there are additional new CP violating flavor changing interactions, it is also possible to have a non-zero Berry phase with just two generations.
RevTex 16 pages, no figures, new discussions about sterile neutrino added,typos corrected and errors in references corrected
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- Geometric phase for neutrino propagation in magnetic field
- Geometric phases in neutrino oscillations with nonlinear refraction
- Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect
- Geometric phase and neutrino mass hierarchy problem
- Geometric and Majorana phases in neutrino oscillations
- Noncyclic geometric phases and helicity transitions for neutrino oscillations in a magnetic field
- Interference phenomenon and geometric phase for Dirac neutrino in pion+ decay
- Mixed state geometric phase for neutrino oscillations
- Geometric phases in neutrino mixing
- Geometric imprint of CP violation in two flavor neutrino oscillations