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Neutrino telescopes as a probe of active and sterile neutrino mixings Zhi-zhong Xing a



If the ultrahigh-energy (UHE) neutrino fluxes produced from a distant astrophysical source can be measured at a km 3-size neutrino telescope, they will provide a promising way to help determine the flavor mixing pattern of three active neutrinos. Considering the conventional UHE neutrino source with the flavor ratio φ e: φ µ: φ τ = 1: 2: 0, I show that φ D e: φ D µ: φ D τ = (1 − 2∆) : (1 + ∆) : (1 + ∆) holds at the detector of a neutrino telescope, where ∆ characterizes the effect of µ-τ symmetry breaking (i.e., θ 13 = 0 and θ 23 = π/4). Current experimental data yield −0.1 ≤ ∆ ≤ +0.1. It is also possible to probe ∆ by detecting the ν e flux of E νe ≈ 6.3 PeV via the Glashow resonance channel ν ee → W − → anything. Finally, I give some brief comments on the possibility to constrain the mixing between active and sterile neutrinos by using the UHE neutrino telescopes. 1

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