Neutrino Mixing, CP/T Violation and Textures in Four-Neutrino Models

Details Neutrino Mixing, CP/T Violation and Textures in Four-Neutrino Models Neutrino Mixing, CP/T Violation and Textures in Four-Neutrino Models

1999-01-22

arxiv.org/abs/hep-ph/9901388v2

Phys.Rev.D59:113010,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, Revtex, no figures. Reference added, ASITP preprint number corrected

Scientific paper

10.1103/PhysRevD.59.113010

We examine the prospects for determining the neutrino mixing matrix and for observing CP and T violation in neutrino oscillations in four-neutrino models. We focus on a general class of four-neutrino models with two pairs of nearly degenerate mass eigenstates separated by approximately 1 eV, which can describe the solar, atmospheric and LSND neutrino data. We present a general parametrization of these models and discuss in detail the determination of the mixing parameters and the mass matrix texture from current and future neutrino data in the case where $\nu_e$ and $\nu_\mu$ each mix primarily with one other neutrino. We find that measurable CP/T violation in long-baseline experiments, with amplitude at the level of the LSND signal, is possible given current experimental constraints. Also, additional oscillation effects in short- and long-baseline experiments may be measurable in many cases. We point out that, given separate scales for the mass-squared differences of the solar and atmospheric oscillations, observable CP/T violation effects in neutrino oscillations signals the existence of a sterile neutrino. We examine several textures of the neutrino mass matrix and determine which textures can have measurable CP/T violation in neutrino oscillations in long-baseline experiments. We also briefly discuss some possible origins of the neutrino mass terms in straightforward extensions of the Standard Model.

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