Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-11-11
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages,6 figures,Talk given at the Post Summer Institute 2000 on Neutrino Physics, August 21-24, 2000, Fuji-Yoshida, Yamanas
Scientific paper
Phenomena of neutrino oscillations are discussed on the basis of two-loop radiative neutrino mechanism. Neutrino mixings are experimentally suggested to be maximal in both atmospheric and solar neutrino oscillations. By using $L_e - L_\mu - L_\tau$ ($\equiv L^\prime$)-conservation, which, however, only ensures the maximal solar neutrino mixing, we find that two-loop radiative mechanism dynamically generates the maximal atmospheric neutrino mixing and that the estimate of $\Delta m^2_\odot/\Delta m^2_{atm} \sim\epsilon m_e/m_\tau$ explains $\Delta m^2_\odot/\Delta m^2_{atm} \ll 1$ because of $m_e/m_\tau \ll 1$, where $\epsilon$ measures the breaking of the $L^\prime$-conservation. Together with $\Delta m^2_{atm} \approx 3\times 10^{-3}$ eV$^2$, this estimate yields $\Delta m^2_\odot \sim 10^{-7}$ eV$^2$ for $\epsilon \sim 0.1$, which corresponds to the LOW solution to the solar neutrino problem. Neutrino mass scale is given by $(16\pi^2)^{-2} m_em_\tau /M$ ($M \sim$ 1 TeV), which is of order 0.01 eV.
Kitabayashi Teruyuki
Yasue Masaki
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