Dynamical Minimal Flavour Violating inverse seesaw

The Inverse Seesaw mechanism is dynamically realised within the Minimal Lep- ton Flavour Violation context. Lepton number, whose breaking is spontaneously realised, is generalised to a global Abelian factor of the whole flavour symmetry, that also plays the role of the Peccei-Quinn symmetry. The associated Goldstone boson is a Majoraxion that solves the Strong CP problem and represents a Dark Matter candidate. Three distinct scenarios are identified in terms of flavour symmetry and transformation properties of the exotic neutral leptons that enrich the Standard Model spectrum. The associated phenomenology is studied, focusing on the deviations from unitarity of the PMNS mixing matrix. The strongest constraints arise from the determination of the number of active neutrinos through the invisible width of the Z, the comparison of the measured W boson mass with its prediction in terms of the Fermi constant from muon decay, and the null searches for the radiative rare muon decay and mu -> e conversion in nuclei. The heavy neutral leptons may have masses of a few TeV, leaving open the possibility for a direct detection at future colliders. The impact of the recent measurement of the W mass at the CDF II detector has also been considered, which, in one of the scenarios, points to a sharp prediction for the masses of the heavy neutral leptons at about 2 - 3 TeV.

Automated summary

The Inverse Seesaw mechanism is realized within the Minimal Lepton Flavour Violation scenario. The breaking of lepton number, which is spontaneously realized, is generalized to a global Abelian factor that also acts as the Peccei-Quinn symmetry. The associated Goldstone boson, called the Majoraxion, solves the Strong CP problem and can be a candidate for Dark Matter. Three scenarios are identified based on the flavor symmetry and transformation properties of exotic neutral leptons, enriching the spectrum of the Standard Model. The phenomenology associated with these scenarios is studied, with a focus on deviations from unitarity in the PMNS mixing matrix.