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Abstract:
Neutrinos can be pseudo-Dirac in Nature - they can be Majorana fermions while behaving effec- tively as Dirac fermions. Such scenarios predict active-sterile neutrino oscillations driven by a tiny mass-squared difference (δm2), which is an outcome of soft lepton number violation. Oscillations due to tiny δm2 can only take place over astrophysical baselines and hence are not accessible in ter- restrial neutrino oscillation experiments. This implies that high-energy neutrinos coming from large distances can be naturally used to test this scenario. We use the recent observation of high-energy neutrinos from the active galactic nuclei NGC 1068 by the IceCube collaboration to rule out δm2 in the region [1.4 × 10−18, 10−17] eV2 at more than 90% confidence level - one of the strongest limits to date on the values of δm2. We also discuss possible uncertainties which can reduce the sensitivity of these results.
