# Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum

@article{Sumino2009FamilyGS,
title={Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum},
author={Yukinari Sumino},
journal={Journal of High Energy Physics},
year={2009},
volume={2009},
pages={075-075}
}
• Y. Sumino
• Published 11 December 2008
• Physics
• Journal of High Energy Physics
Koide's mass formula is an empirical relation among the charged lepton masses which holds with a striking precision. We present a model of charged lepton sector within an effective field theory with U(3) × SU(2) family gauge symmetry, which predicts Koide's formula within the present experimental accuracy. Radiative corrections as well as other corrections to Koide's mass formula have been taken into account. We adopt a known mechanism, through which the charged lepton spectrum is determined by…
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## References

SHOWING 1-10 OF 59 REFERENCES
Solving the SUSY flavour and CP problems with SU(3) family symmetry
• Physics
• 2008
We show how the SUSY flavour and CP problems can be solved using gauged SU(3) family symmetry previously introduced to describe quark and lepton masses and mixings, in particular neutrino
U(3)-family nonet Higgs boson and its phenomenology
• Physics
• 1996
In a model where quark and lepton masses and family-mixings are caused not by a variety of Yukawa couplingsyij(i,j=1, 2, 3: family indices) with one vacuum expectation value (VEV)ν=〈φL0〉0, but by a
F-term induced flavor mass spectrum
• Physics
• 2008
New mechanism of generating flavor mass spectrum is proposed by using an O'Raifeartaigh-type supersymmetry breaking model. A desired bilinear form of fermion mass spectrum is naturally realized
HEURISTIC DEVELOPMENT OF A DIRAC–GOLDHABER MODEL FOR LEPTON AND QUARK STRUCTURE
All three charged lepton pole masses are given to O(10-5) accuracy by $(m_e, m_\mu, m_\tau)=(313.85773~{\rm MeV})[1+\sqrt{2}\,{\rm cos}\,\theta_k]^2$, where θk = 2πk/3 + 2/9 with the generation
Empirical neutrino mass matrix related to up-quark Masses
According to an idea that mass spectra of quarks and leptons originate in vacuum expectation values of 0(3) flavor (3 x 3)s = 1 + 5 (gauge singlet) scalars, a neutrino mass matrix related to up-quark
Neutrinos and SU(3) family gauge symmetry
• Physics
• 2006
We include the standard model (SM) leptons in a recently proposed framework for the generation of quark mass ratios and Cabibbo-Kobayashi-Maskawa (CKM) mixing angles from a SU(3) family gauge
Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
We show how the neutrino mixing angles and oscillation phase can be predicted from tri-bimaximal neutrino mixing, corrected by charged lepton mixing angles which are related to quark mixing angles