Neutrino oscillations and moments of electron spectra

Abstract

We show that the effects of neutrino oscillations on ${}^{8}$B solar neutrinos are described well by the first two moments (the average and the variance) of the energy distribution of scattered or recoil electrons. For the SuperKamiokande and the Sudbury Neutrino Observatory experiments, the differences between the moments calculated with oscillations and the standard, no-oscillation moments are greater than three standard deviations for a significant fraction of the neutrino mass-mixing $(\ensuremath{\Delta}{m}^{2},{\mathrm{sin}}^{2}2\ensuremath{\theta})$ parameter space.