Estimate of neutrino masses from Koide's relation

Nan Li; Bo-Qiang Ma

doi:10.1016/j.physletb.2005.01.066

paper

Estimate of neutrino masses from Koide's relation

arXiv:hep-ph/0505028 · doi:10.1016/j.physletb.2005.01.066

Abstract

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 $k_{ν}$ , $k_{u}$ 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 $k_{l} + k_{d} \approx k_{ν} + k_{u} \approx 2$ . The masses of neutrinos are determined from the improved relation, and they are strongly hierarchical (with the different orders of magnitude of $1 0^{- 5} e V$ , $1 0^{- 3} e V$ , and $1 0^{- 2} e V$ ).

12 latex pages, 4 figures, version in publication