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Article overview
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Common origin of heta_{13} and Delta m^2_{12} in a model of neutrino mass with quaternion symmetry | | Michele Frigerio
; Ernest Ma
; | | Date: |
1 Aug 2007 | | Abstract: | The smallness of the 1-3 lepton mixing angle $ heta_{13}$ and of the
neutrino mass-squared-difference ratio $Delta m^2_{12}/Delta m^2_{23}$ can be
understood as the departure from a common limit where they both vanish. We
discuss in general the conditions for realizing the mass degeneracy of a pair
of neutrinos and show that the vanishing of a CP violating phase is needed. We
find that the discrete quaternion group Q of eight elements is the simplest
family symmetry which correlates the smallness of $Delta m^2_{12}$ to the
value of $ heta_{13}$. In such a model we predict $0.12lesssim
sin heta_{13} lesssim 0.2$ if the ordering of the neutrino mass spectrum is
normal, and $sin heta_{13}lesssim 0.12$ if it is inverted. | | Source: | arXiv, 0708.0166 | | Services: | Forum | Review | PDF | Favorites | |
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