Natural mass scale and neutrino oscillation

Abstract

Two principles, the standard $\mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_L\times \mathrm{U}\mathrm{}\left(1\right)\mathrm{}$ electroweak theory below 100 GeV and the natural mass scale, are suggested for studying possible connections between neutrino oscillation and a mass hierarchy above 100 GeV. Neutrino-oscillation parameters of order ≲ 1 eV suggest a natural mass scale for the oscillation of order ≳ ${10}^8$-${10}^9$ GeV. An SU(7) model in this scenario is described in some detail.