Consequences of a unified, anarchical model of fermion masses and mixings

Abstract

We show that most features of the mass and mixing pattern of the second and third SM fermion families can be accounted for without making use of flavour symmetries or other types of flavour dynamics. We discuss the implications for flavour phenomenology, in particular for the $\tau \to \mu \gamma$ decay rate, and comment on LFV effects at colliders. We show that the model can be embedded in a full SO(10) supersymmetric GUT in 5 dimensions that preserves the successful MSSM gauge coupling unification prediction for ${\alpha }_s$. Interesting features of this embedding are i) the connection of one of the hierarchy parameters with the strong coupling assumption, ii) the absence of KK threshold effects on the ${\alpha }_s$ prediction at one loop, and iii) the shift of the GUT scale up to about $10^{17}\GeV$. Proton decay is under control, also due to the larger GUT scale. A large atmospheric angle for normal hierarchical neutrinos is obtained in an unusual way.

31 pages, 6 figures, text and reference added

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• Phenomenology of SUSY SU(5) with type I+III seesaw
• The Messenger Sector of SUSY Flavour Models and Radiative Breaking of Flavour Universality
• Gauge coupling unification, the GUT scale, and magic fields
• $R_{K^{(\ast )}}$ with leptoquarks and the origin of Yukawa couplings
• Origin of Yukawa couplings for Higgs and leptoquarks