The problem of neutrino masses in extensions of the Standard Model

Abstract

We review the problem of neutrino masses and mixings in the context of Grand Unified Theories. After a brief summary of the present experimental status of neutrino physics, we describe how the see-saw mechanism can automatically account for the large atmospheric mixing angle. We provide two specific examples where this possibility is realized by means of a flavour symmetry. We then review in some detail the various severe problems which plague minimal GUT models (like the doublet-triplet splitting and proton-decay) and which force to investigate the possibility of constructing more elaborate but realistic models. We then show an example of a quasi-realistic SUSY SU(5) model which, by exploiting the crucial presence of an abelian flavour symmetry, does not require any fine-tuning and predicts a satisfactory phenomenology with respect to coupling unification, fermion masses and mixings and bounds from proton decay.

140 pages, 6 figures; based on PhD thesis work; accepted by Int. Jour. of Mod. Phys. A

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• Large Solar Angle and Seesaw Mechanism: a Bottom-up Perspective
• Models of Neutrino Masses: Anarchy versus Hierarchy
• Fock States of Flavor Neutrinos are Unphysical
• Lepton Electric Dipole Moments from Heavy States Yukawa Couplings
• Lepton Flavor Violation, Neutralino Dark Matter and the Reach of the LHC
• Heavy Triplets: Electric Dipole Moments vs Proton Decay
• SUSY Seesaw and FCNC
• Mass predictions based on a supersymmetric SU(5) fixed point
• Neutrino Masses, Mixing and New Physics Effects