Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-03-29
Phys.Lett. B594 (2004) 324-332
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 Pages, no figures. Changes for V2: minor notation change and additional inline formula. Fixed a few typos
Scientific paper
10.1016/j.physletb.2004.05.039
We motivate the simplest ansatz for the neutrino mass matrix consistent with the data from neutrino oscillation experiments, and admitting CP violation. It has only two free parameters: an arbitrary mass-scale and a small dimensionless ratio. This mass matrix exhibits two symmetries, Democracy and Mutativity, which respectively ensure trimaximal mixing of the |nu_2> mass eigenstate, and mixing parameter values |theta_{23}|=45 degrees and |delta|=90 degrees, consistent with bimaximal mixing of the |nu_3> mass eigenstate. A third constraint relates the smallness of |U_{e3}|^2 to that of the mass-squared difference ratio, Delta m^2_sol/Delta m^2_atm, yielding the prediction sin(theta_{13})=sqrt{2 Delta m^2_sol/3 Delta m^2_atm} ~ 0.13 +- 0.03.
Harrison P. F.
Scott W. G.
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