We present a new method to measure neutrino masses using the dark
matter-neutrino relative velocity. The relative motion between dark matter and
neutrinos results in a parity-odd bispectrum which can be measured from
cross-correlation of different cosmic fields. This new method is not affected
by most systematics which are parity even and not limited by the knowledge of
optical depth to the cosmic microwave background. We estimate the detectability
of the relative velocity effect and find that the minimal sum of neutrino
masses could be detected at high significance with upcoming surveys.Comment: 6 pages, 2 figures, 1 table, published versio