Abstract
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 the minimal sum of neutrino masses could be
detected at high significance with upcoming surveys.
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