Estimate of neutrino masses from Koide's relation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 latex pages, 4 figures, version in publication

Scientific paper

10.1016/j.physletb.2005.01.066

We apply Koide's mass relation of charged leptons to neutrinos and quarks, with both the normal and inverted mass schemes of neutrinos discussed. We introduce the parameters $k_{\nu}$, $k_u$ and $k_d$ to describe the deviations of neutrinos and quarks from Koide's relation, and suggest a quark-lepton complementarity of masses such as $ k_{l}+k_{d} \approx k_{\nu}+k_{u} \approx 2$. The masses of neutrinos are determined from the improved relation, and they are strongly hierarchical (with the different orders of magnitude of $10^{-5} eV$, $10^{-3} eV$, and $10^{-2} eV$).

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