Heavy neutrino threshold effects in low energy phenomenology

Abstract

Right handed neutrinos with mass of $\mathcal{O}(10^{12}-10^{13})$ GeV are required to implement the see-saw mechanism and generate neutrino masses capable of playing a role in structure formation. Moreover models of fermion masses often relate the Yukawa couplings involving these neutrinos to the up-quark Yukawa couplings. Here we study the effects of such couplings on the radiative corrections to quark masses. We find that $b-\tau$ equality at $M_{GUT}$ may still give the correct $m_b/m_{\tau }$-- ratio at low energies, but only if there is large $\mu -\tau$ mixing in the charged leptonic sector. We propose specific mass matrix ``textures'' dictated by a $U(1)$ family symmetry whose structure preserves $m_b=m_{\tau }$ at $M_{GUT}$. In these schemes, due to the large ${\nu }_{\mu }-{\nu }_{\tau }$ mixing, it is possible to give a simultaneous solution to the solar neutrino deficit and the atmospheric neutrino problem.

22 pages, latex file, including 8 latex figures. Revised version (typos corrected, references added), to be published in Nucl. Phys. B

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• Nearly degenerate neutrinos, Supersymmetry and radiative corrections
• Low-Scale See-Saw Mechanisms for Light Neutrinos
• Renormalisation Group Analysis of Single Right-handed Neutrino Dominance
• Neutrino masses from U(1) symmetries and the Super-Kamiokande data
• U(1) textures and Lepton Flavor Violation
• Textures for Atmospheric and Solar Neutrino Oscillations
• Inverted Hierarchy Models of Neutrino Masses
• Charged-Lepton-Flavour Violation in the CMSSM in View of the Muon Anomalous Magnetic Moment
• Search for Tau Flavour Violation at the LHC
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• Yukawa Textures in String Unified Models With SU(4)xO(4) Symmetry
• Textures for Neutrino Mass Matrices in Gauge Theories
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• Real and Imaginary Elements of Fermion Mass Matrices
• Low-energy formulas for neutrino masses with $\tan \beta$-dependent hierarchy
• Leading Order Textures for Lepton Mass Matrices
• b-tau Unification and neutrino masses in SU(5) extensions of the MSSM with radiative electroweak symmetry breaking
• Low-energy constraints from unification of matter multiplets
• Signatures of the Light Down-Squark Scenario at the Upgraded Tevatron
• Family Symmetry and Single Right-Handed Neutrino Dominance in Five Dimensions
• Neutrino-induced Electroweak Symmetry Breaking in Supersymmetric SO(10) Unification
• Is the Higgs Boson Composed of Neutrinos?
• Mass Determination of New Particle States