6533b82dfe1ef96bd12911a9

RESEARCH PRODUCT

Model for T2K indication with maximalθ23and trimaximalθ12

Stefano MorisiEduardo PeinadoKetan M. Patel

subject

Tribimaximal mixingPhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsOrder (ring theory)LambdaMass matrix01 natural sciences0103 physical sciencesNeutrinoSymmetry (geometry)010306 general physicsMixing (physics)Lepton

description

Recently T2K experiment gives hint in favor of large reactor angle ${\ensuremath{\theta}}_{13}$. Most of the models, with tribimaximal mixing at the leading order, can not reproduce such a large mixing angle since they predict typically corrections for the reactor angle of the order ${\ensuremath{\theta}}_{13}\ensuremath{\sim}{\ensuremath{\lambda}}_{C}^{2}$, where ${\ensuremath{\lambda}}_{C}\ensuremath{\sim}0.2$. In this paper, we discuss the possibility to achieve large ${\ensuremath{\theta}}_{13}$ within the T2K region with maximal atmospheric mixing angle, ${sin}^{2}{\ensuremath{\theta}}_{23}=1/2$, and trimaximal solar mixing angle, ${sin}^{2}{\ensuremath{\theta}}_{12}=1/3$, through the deviation from the exact tribimaximal mixing. We derive the structure of neutrino mass matrix that leads to the large ${\ensuremath{\theta}}_{13}$ leaving maximal ${\ensuremath{\theta}}_{23}$ and trimaximal ${\ensuremath{\theta}}_{12}$. It is shown that such a structure of neutrino mass matrix can arise in a model with ${S}_{4}$ flavor symmetry.

https://doi.org/10.1103/physrevd.84.053002