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European Physical Journal C, 50,
809 -- 816 (2007)
S_3 Symmetry and Neutrino Masses and Mixings
Based on a universal seesaw mass matrix model with three
scalars \phi_i, and by assuming an S_3 flavor symmetry
for the Yukawa interactions, the neutrino masses and
mixings are investigated.
Suggested from that the observed neutrino mixing is nearly
the tribimaximal mixing,
it is assumed that when the charged leptons (e, \mu, \tau)
are regarded as the states (e_1, e_2, e_3) of S_3,
the neutrino mass-eigenstates are
nearly in the states (\nu_\eta, \nu_\sigma, \nu_\pi),
where (\nu_\pi, \nu_\eta) and \nu_\sigma are a doublet
and a singlet of S_3, respectively.
Possible structures of the Yukawa interactions are investigated
systematically.
Journal of Physics G: Nuclear and Particle Physics, 34,
1653 -- 1664, (2007)
Tribimaximal Neutrino Mixing and
a Relation Between Neutrino- and Charged
Lepton-Mass Spectra
Brannen has recently pointed out that the observed charged
lepton masses satisfy the relation $m_e +m_\mu +m_\tau =
\frac{2}{3} (\sqrt{m_e}+\sqrt{m_\mu}+\sqrt{m_\tau})^2$,
while the observed neutrino masses satisfy the relation
$m_{\nu 1} +m_{\nu 2} +m_{\nu 3}
= \frac{2}{3} (-\sqrt{m_{\nu 1}}+\sqrt{m_{\nu 2}}
+\sqrt{m_{\nu 3}})^2$.
It is discussed what neutrino Yukawa interaction form is favorable
if we take the fact pointed out by Brannen seriously.
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