Neutrino properties from maximally-predictive GUT models and the structure of the heavy Majorana sector

Abstract

Starting from a complete set of possible parametrisations of the quark-mass matrices that have the maximum number of texture zeros at the grand unification scale, and the Georgi-Jarlskog mass relations, we classify the neutrino spectra with respect to the unknown structure of the heavy Majorana sector. The results can be casted into a small number of phenomenologically distinct classes of neutrino spectra, characterised by universal mass-hierarchy and oscillation patterns. One finds that the neutrino masses reflect the natural hierarchy among the three generations and obey the quadratic seesaw, for most GUT models that contain a rather unsophisticated Majorana sector. A scenario with ${\nu }_{\tau }$ as the missing hot dark matter component and ${\nu }_e\leftrightarrow {\nu }_{\mu }$ oscillations accounting for the solar neutrino deficit comes naturally out of this type of models and is very close to the experimental limit of confirmation or exclusion. In contrast, in the presence of a strong hierarchy of heavy scales or/and some extra symmetries in the Majorana mass matrix, this natural hierarchy gets distorted or even reversed. This fact can become a link between searches for neutrino oscillations and searches for discrete symmetries close to the Planck scale.

39, LATEX, LPTHE45

References in corpus (8)

• Predictive Neutrino Spectrum in Minimal $SO(10)$ Grand Unification
• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• Stitching the Yukawa Quilt
• A new ansatz for quark and lepton mass matrices
• The prospects for CHORUS and NOMAD in the light of COBE and GALLEX
• Neutrino masses and mixings in a predictive theory of fermion masses
• From Fermion Mass Matrices to Neutrino Oscillations
• Predictive Ansatz for Fermion Masses in SUSY GUTS

Cited by in corpus (5)

• Neutrino Masses from Gauge Symmetries
• Textures for Neutrino Mass Matrices
• Heavy neutrino threshold effects in low energy phenomenology
• Neutrinos and Structure of the Intermediate Mass Scale
• String Unification, Spaghetti Diagrams and Infra-Red Fixed Points