Yukawaon Model with U(3)$\times$O(3) Family Symmetries

Abstract

A quark and lepton mass matrix model with family symmetries U(3)$\times$O(3) is investigated on the basis of the so-called yukawaon model. In the present model, quarks and leptons are assigned to $(\ell ,e^c,u^c)\sim (3,3,3^{\ast })$ of U(3) and $(q,d^c,{\nu }^c)\sim (3,3,3)$ of O(3). Then, the neutrino mass matrix is given by $M_{\nu }=m_D{M}_R^{-1}{m}_D^T$ with $m_D\propto <{\Phi }_e>$, where the charged lepton mass matrix $M_e$ is given by $M_e=k<{\Phi }_e><{\Phi }_e^T>$. A merit in considering U(3)$\times$O(3) lies in that we can lower the cutoff scale $\Lambda$ in the yukawaon model.

14 pages, no figure, minor change of model, title changed

References in corpus (14)

• Precision Measurement of Neutrino Oscillation Parameters with KamLAND
• Observation of muon neutrino disappearance with the MINOS detectors and the NuMI neutrino beam
• Updated Values of Running Quark and Lepton Masses
• Independent Measurement of the Total Active 8B Solar Neutrino Flux Using an Array of 3He Proportional Counters at the Sudbury Neutrino Observatory
• Family Gauge Symmetry and Koide's Mass Formula
• Charged Lepton Mass Relations in a Supersymmetric Yukawaon Model
• Quark Mass Ratios and Mixing Angles from SU(3) Family Gauge Symmetry
• Neutrinos and SU(3) Family Gauge Symmetry
• Family Gauge Symmetry as an Origin of Koide's Mass Formula and Charged Lepton Spectrum
• O(3) Flavor Symmetry and an Empirical Neutrino Mass Matrix
• Yukawaon Model in the Quark Sector and Nearly Tribimaximal Neutrino Mixing
• Unified description of quark and lepton mixing matrices based on a Yukawaon model
• Tests of a Family Gauge Symmetry Model at 10^3 TeV Scale
• Neutrino Mass Hierarchies in a Mass Matrix Form Versus its Inverse Form

Cited by in corpus (5)

• Non-Abelian family symmetries in Pati-Salam unification
• Flavon VEV Scales in U(3)$\times$U(3)${}^{\prime }$ Model
• Quark and Lepton Mass Matrices Described by Charged Lepton Masses
• SU(5)-Compatible Yukawaon Model
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model