Berry phase in neutrino oscillations
- Department of Physics, Nankai University, Tianjin (China)
- School of Physics, University of Melbourne, Parkville, Victoria (Australia)
- Department of Physics, Peking University, Beijing (China)
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, these conditions imply 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 nonzero Berry phase with just two generations.
- OSTI ID:
- 20711426
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 72, Issue 5; Other Information: DOI: 10.1103/PhysRevD.72.053012; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Common origin of soft μ−τ and CP breaking in neutrino seesaw and the origin of matter
Baryon asymmetry via leptogenesis in a neutrino mass model with complex scaling