Tuesday, November 20, 2012

1211.4452 (Takeshi Araki et al.)

Partial mass-degeneracy and spontaneous CP violation in the lepton
sector
   [PDF]

Takeshi Araki, Hiroyuki Ishida
Inspired by the small squared-mass difference measured in solar neutrino oscillation experiments, we suggest that the partial mass-degenerate limit, in which masses of the first two generation fermions are degenerate, may be a good starting point for understanding the observed fermion mass spectra and mixing patterns. The limit indicates an O(2) symmetry acting on flavor space of the first two generations. We build a simple model for the lepton sector based on the $D_N$ group, which is a discrete subgroup of O(2), and show that the model can successfully reproduce the experimental data without tuning dimension couplings. We also show that the electron mass and $\theta_{13}^{\rm PMNS}$ are related with each other through CP violating phases.
View original: http://arxiv.org/abs/1211.4452

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