Neutrino Anomalies and Quasi-Dirac neutrinos

Details Neutrino Anomalies and Quasi-Dirac neutrinos Neutrino Anomalies and Quasi-Dirac neutrinos

2001-10-20

arxiv.org/abs/hep-ph/0110272v2

Phys.Rev. D65 (2002) 073025

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LATEX, minor corrections; addition of few references

Scientific paper

10.1103/PhysRevD.65.073025

We discuss possibility of describing solar, atmospheric and LSND results with four neutrinos forming two quasi-degenerate pairs. The simplest versions of this 2+2 scheme with either $\nu_e$ or $\nu_\mu$ mixing exclusively with sterile neutrino is disfavored by the SNO and atmospheric neutrino results respectively. A generalized scheme with sterile state participating in both the solar and atmospheric oscillations is still allowed. We show thasolar and atmospheric oscillations is still allowed. We show that the complex pattern of mixing needed for this purpose follows from a simple L_e+L_\mu-L_\tau-L_s symmetry. Specific form of L_e+L_\mu-L_\tau-L_s symmetric mass matrix is determined from experimental results. Two theoretical schemes which lead to this form and a proper breaking of L_e+L_\mu-L_\tau-L_s symmetry are discussed.

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