Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry
| dc.creator | Frigerio, Michele | |
| dc.creator | Ma, Ernest | |
| dc.date | 2007-08-01 | |
| dc.date | 2007-11-02 | |
| dc.date.accessioned | 2026-07-07T11:18:20Z | |
| dc.date.available | 2026-07-07T11:18:20Z | |
| dc.description | The smallness of the 1-3 lepton mixing angle $θ_{13}$ and of the neutrino mass-squared-difference ratio $Δm^2_{12}/Δm^2_{23}$ 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 $Δm^2_{12}$ to the value of $θ_{13}$. In such a model we predict $0.12\lesssim \sinθ_{13} \lesssim 0.2$ if the ordering of the neutrino mass spectrum is normal, and $\sinθ_{13}\lesssim 0.12$ if it is inverted. | |
| dc.description | revtex, 7 pages, 6 pdf figures; Appendix added discussing in detail the alignment of VEVs | |
| dc.identifier | https://arxiv.org/abs/0708.0166 | |
| dc.identifier | http://arxiv.org/abs/0708.0166 | |
| dc.identifier | Phys.Rev.D76:096007,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.096007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193309 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Experiment | |
| dc.title | Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry | |
| dc.type | text |