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Reactor neutrino experiments have now observed a nonzero value for $\theta_{13}$ at $5\sigma$, and global fits to data imply a nonzero value above $10\sigma$.
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J. F. Beacom, N. F. Bell, D. Hooper, S. Pakvasa and T. J. Weiler, “Measuring flavor ratios of high-energy astrophysical neutrinos,” Phys. Rev. D 68
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