Radiative four neutrino masses and mixings

Abstract

The radiative model, proposed by Zee, is extended from the three neutrino $({\nu }_{e,\mu ,\tau })$ sector to include a fourth sterile neutrino ${\nu }_s$. The oscillations ${\nu }_e\leftrightarrow {\nu }_s$ (solar), ${\nu }_{\mu }\leftrightarrow {\nu }_{\tau }$ (atmospheric) and ${\nu }_e\leftrightarrow {\nu }_{\mu }$ (LSND) are invoked to explain all oscillation data with the successful relation $(\Delta m^2{)}_{atm}\simeq 2[(\Delta m^2{)}_{solar}(\Delta m^2{)}_{LSND}{]}^{1/2}$ as an added bonus.

Talk given at the XXIX International Conference on High Energy Physics, Vancouver