Minimal flavour violation extensions of the seesaw

Details Minimal flavour violation extensions of the seesaw Minimal flavour violation extensions of the seesaw

2011-03-28

arxiv.org/abs/1103.5461v1

JHEP 1106:037,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 6 figures

Scientific paper

10.1007/JHEP06(2011)037

We analyze the most natural formulations of the minimal lepton flavour violation hypothesis compatible with a type-I seesaw structure with three heavy singlet neutrinos N, and satisfying the requirement of being predictive, in the sense that all LFV effects can be expressed in terms of low energy observables. We find a new interesting realization based on the flavour group $SU(3)_e\times SU(3)_{\ell+N}$ (being $e$ and $\ell$ respectively the SU(2) singlet and doublet leptons). An intriguing feature of this realization is that, in the normal hierarchy scenario for neutrino masses, it allows for sizeable enhancements of $\mu \to e$ transitions with respect to LFV processes involving the $\tau$ lepton. We also discuss how the symmetries of the type-I seesaw allow for a strong suppression of the N mass scale with respect to the scale of lepton number breaking, without implying a similar suppression for possible mechanisms of N production

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