Speaker
Denise Vicino
(INFN University of Padova)
Description
A mechanism to generate flavour hierarchy via 5D wave-function localization is revisited in the context of SO(10) grand unified theory. In an extra-dimension compactified on an orbifold, fermions (living in the same 16 representation of SO(10) ) result having exponential zero-modes profiles. The breaking of SO(10) down to SU(5) \times U(1)_X provides the key parameter that distinguishes the profiles of the different SU(5) components inside the same 16 representation. Utilizing suitable scalar fields, a predictive model for fermion masses and mixing is constructed and shown to be viable with the current data through a detailed numerical analysis.
All the Yukawa couplings in the model are anarchical and of order unity, while the hierarchies among different fermions result only from zero-mode profiles. The naturalness of anarchical Yukawa couplings is studied, showing a preference for a normal ordered neutrino spectrum; predictions for various observables in the lepton sector are also derived. The scalar field content of the model is also suitable to solve the doublet-triplet splitting problem through the "missing partner" mechanism.
Authors
Denise Vicino
(INFN University of Padova)
Ferruccio Feruglio
(Dipartimento di Fisica Galileo Galilei)
Ketan Patel
(Physical Research Laboratory)