Eur. Phys. J. C (2013) 73: 2596
https://doi.org/10.1140/epjc/s10052-013-2596-2

Regular Article - Theoretical Physics

Quasi-Dirac neutrinos and solar neutrino data

¹ Instituto de Física Teórica, Universidade Estadual Paulista, R. Dr. Bento Teobaldo Ferraz 271, Barra Funda, São Paulo, SP, 01140-070, Brazil
² Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Santo André, SP, 09210-170, Brazil

^* e-mail: ftorres@ift.unesp.br

Received: 30 July 2013
Revised: 19 September 2013
Published online: 15 October 2013

Abstract

We will present an analysis of the solar neutrino data in the context of a 3+1 quasi-Dirac neutrino model in which the lepton mixing matrix is given at tree level by the tribimaximal matrix. When radiative corrections are taken into account, new effects in neutrino oscillations, as ν _e →ν _s , could appear. This oscillation is constrained by the solar neutrino data. In our analysis, we have found an allowed region for our two free parameters ϵ and m ₁. The radiative correction, ϵ, can vary approximately from 5×10⁻⁹ to 10⁻⁶ and the calculated fourth mass eigenstate, m ₄, varies in the interval 0.01–0.2 eV, at 2σ level. These results are in agreement with the ones presented in the literature in 2+1 and 2+2 quasi-Dirac models.