Abstract
The ultrahigh-energy (UHE) neutrinos produced from a distant astrophysical source must oscillate many times on the way to the Earth. Assuming the conventional UHE neutrino source with the flavor ratio ϕ e : ϕ μ : ϕ τ = 1 : 2 : 0 , I show that ϕ e D : ϕ μ D : ϕ τ D = ( 1 − 2 Δ ) : ( 1 + Δ ) : ( 1 + Δ ) holds at the detector of a km 3 -size neutrino telescope, where Δ signifies the effect of μ - τ symmetry breaking (i.e., θ 13 ≠ 0 and θ 23 ≠ π / 4 ). Current neutrino oscillation data yield − 0.1 ⩽ Δ ⩽ + 0.1 . I point out that it is also possible to probe Δ by detecting the ν ¯ e flux of E ν ¯ e ≈ 6.3 PeV via the Glashow resonance channel ν ¯ e e → W − → anything .
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