From Fermion Mass Matrices to Neutrino Oscillations

Abstract

We present an ansatz for the quark and lepton mass matrices, derivable from SO(10) type GUTs, which accommodates a heavy $(>92GeV)$ top quark and permits large mixings in the ${\nu }_{\mu }\leftrightarrow {\nu }_{\tau }$ sector (as suggested by the recent Kamiokande and IMB data on the atmospheric neutrinos). The well known asymptotic relations $m_b=m_{\tau }$, $m_s=\frac{1}{3}{m}_{\mu }$ and $m_d{m}_s=m_e{m}_{\mu }$ all hold to a good approximation. Depending on ${\nu }_{\mu }\leftrightarrow {\nu }_{\tau }$ mixing which can even be maximal, the mixing angle relevant for solar neutrino oscillation lies in the range $7.8\times 10^{-3}\stackrel{{}_{<}}{{}_{\sim }}{\sin }^{2}2{\theta }_{e\mu }\stackrel{{}_{<}}{{}_{\sim }}2.1\times 10^{-2}$. For the ${}^{71}$Ga experiment the event rate, normalized against the standard solar model prediction of 132 SNU, is estimated to be between 80 and 20 SNU.

16 pages, in LaTeX

Cited by in corpus (24)

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• Renormalization Effect on Large Neutrino Flavor Mixing in the Minimal Supersymmetric Standard Model
• Inverse Hierarchy Approach to Fermion Masses
• Unified Explanation of Quark and Lepton Masses and Mixings in the Supersymmetric SO(10) Model
• Quasielastic neutrino scattering from oxygen and the atmospheric neutrino problem
• See-saw Enhancement of Neutrino Mixing due to the Right-handed Phases
• Predicting the neutrino spectrum in minimal SO(10) Grand Unification
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• Hierarchical Quark Mass Matrices
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• Treating Solar Model Uncertainties: A Consistent Statistical Analysis of Solar Neutrino Models and Data
• Cosmological Consequences of Spontaneous Lepton Number Violation in $SO(10)$ Grand Unification, EFI-93-07
• Neutrino Masses in Flipped SU(5)
• Predictive Ansatz for Fermion Masses in SUSY GUTS
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• Grand Unified Yukawa Matrix Ansatz: The Standard Model Fermion Mass, Quark Mixing and CP Violation Parameters
• Neutrino oscillations in a $3{\nu }_L+3{\nu }_R$ framework with five light neutrinos