A prediction for U(e3) from patterns in the charged lepton spectra

Abstract

It is shown that empirical relations between the charged lepton spectra and the quark spectra together with a bimaximal or near bimaximal neutrino mixing matrix necessarily imply that there is a contribution to U(e3) given by thetaC/3/sqrt(2) ~ sqrt(m_{e}/2m_{mu}) ~ 0.052, where thetaC is the Cabibbo angle. This prediction could be tested in the near future reactor experiments. The charged lepton mixing also generates a less robust prediction for the angle theta(23) and a small contribution to the phase delta.