Possible Deviation from the Tri-bimaximal Neutrino Mixing in a Seesaw Model

Details Possible Deviation from the Tri-bimaximal Neutrino Mixing in a Seesaw Model Possible Deviation from the Tri-bimaximal Neutrino Mixing in a Seesaw Model

2005-11-13

arxiv.org/abs/hep-ph/0511157v2

Phys.Rev. D73 (2006) 013001

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex 12 pages (2 EPS figures included). More discussions and references added

Scientific paper

10.1103/PhysRevD.73.013001

We propose a simple but suggestive seesaw model with two phenomenological conjectures: three heavy (right-handed) Majorana neutrinos are degenerate in mass in the symmetry limit and three light Majorana neutrinos have the tri-bimaximal mixing pattern $V^{}_0$. We show that a small mass splitting between the first generation and the other two generations of heavy Majorana neutrinos is responsible for the deviation of the solar neutrino mixing angle $\theta^{}_{12}$ from its initial value $35.3^\circ$ given by $V^{}_0$, and the slight breaking of the mass degeneracy between the second and third generations of heavy Majorana neutrinos results in a small mixing angle $\theta^{}_{13}$ and a tiny departure of the atmospheric neutrino mixing angle $\theta^{}_{23}$ from $45^\circ$. It turns out that a normal hierarchy of the light neutrino mass spectrum is favored in this seesaw scenario.

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