Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-04-19
Nucl.Phys. B720 (2005) 64-88
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, 1 figure, misprints corrected and references added
Scientific paper
10.1016/j.nuclphysb.2005.05.005
We discuss a particularly symmetric model of neutrino mixings where, with good accuracy, the atmospheric mixing angle theta_{23} is maximal, theta_{13}=0 and the solar angle satisfies sin^2(theta_{12})=1/3 (Harrison-Perkins-Scott (HPS) matrix). The discrete symmetry A_4 is a suitable symmetry group for the realization of this type of model. We construct a model where the HPS matrix is exactly obtained in a first approximation without imposing ad hoc relations among parameters. The crucial issue of the required VEV alignment in the scalar sector is discussed and we present a natural solution of this problem based on a formulation with extra dimensions. We study the corrections from higher dimensionality operators allowed by the symmetries of the model and discuss the conditions on the cut-off scales and the VEVs in order for these corrections to be completely under control. Finally, the observed hierarchy of charged lepton masses is obtained by assuming a larger flavour symmetry. We also show that, under general conditions, a maximal theta_{23} can never arise from an exact flavour symmetry.
Altarelli Guido
Feruglio Ferruccio
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