Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-12-24
Phys.Rev. D72 (2005) 053012
Physics
High Energy Physics
High Energy Physics - Phenomenology
RevTex 16 pages, no figures, new discussions about sterile neutrino added,typos corrected and errors in references corrected
Scientific paper
10.1103/PhysRevD.72.053012
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.
He Xiao-Gang
Li Xue-Qian
McKellar Bruce H. J.
Zhang Yue
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