Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-11-22
JCAP 1101:034,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages
Scientific paper
10.1088/1475-7516/2011/01/034
We discuss how a $L_e-L_\mu-L_\tau$ flavour symmetry that is softly broken leads to keV sterile neutrinos, which are a prime candidate for Warm Dark Matter. This is to our knowledge the first model where flavour symmetries are applied simultaneously to active and sterile neutrinos explaining at the same time active neutrino properties and this peculiar Dark Matter scenario. The essential point is that different scales of the symmetry breaking and the symmetry preserving entries in the mass matrix lead to one right-handed neutrino which is nearly massless compared to the other two. Furthermore, we naturally predict vanishing $\theta_{13}$ and maximal $\theta_{23}$, while the correct value of $\theta_{12}$ must come from the mixing of the charged leptons. We can furthermore predict an exact mass spectrum for the light neutrinos, which will be testable in the very near future.
Lindner Manfred
Merle Alexander
Niro Viviana
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