Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-08
J.Phys.G34:1653-1664,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, presentation modified
Scientific paper
10.1088/0954-3899/34/7/006
Brannen has recently pointed out that the observed charged lepton masses satisfy the relation m_e +m_\mu +m_\tau = {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} = {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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