Abstract
We examine the feasibility of deriving neutrino mixing parameters δ and θ 13 from the cosmic neutrino flavor composition under the assumption that the flavor ratios of the cosmic neutrinos at the source were F ν e + F ν ¯ e : F ν μ + F ν ¯ μ : F ν τ + F ν ¯ τ = 1 : 2 : 0 . We analyze various uncertainties that enter the derivation of δ and θ 13 from the ratio of the shower-like to μ-tracks events which is the only realistic source of information on the flavor composition at neutrino telescopes such as ICECUBE. We then examine to what extent the deviation of the initial flavor ratio from 1 : 2 : 0 can be tested by measurement of this ratio at neutrino telescopes taking into account various sources of uncertainty.
Highlights
According to the current models, the astrophysical objects such as sources of Gamma Ray Bursts (GRBs) [1], type I b/c supernovae [2] and Active Galactic Nuclei (AGNs) [3] can emit beams of neutrinos luminous enough to be detectable at the neutrino telescopes that are under construction
Core collapse supernova explosions leading to an intense neutrino flux detectable at km3-scale neutrino telescopes can take place in the close-by galaxies located at a distance of 10 Mpc [6, 7]
Under the assumption that the initial flavor ratios at the source were we0 : wμ0 : wτ0 = 1 : 2 : 0, we have studied the possibility of deriving θ13 and/or δ from cosmic neutrinos taking into account various uncertainties
Summary
According to the current models, the astrophysical objects such as sources of Gamma Ray Bursts (GRBs) [1], type I b/c supernovae [2] and Active Galactic Nuclei (AGNs) [3] can emit beams of neutrinos luminous enough to be detectable at the neutrino telescopes that are under construction. The so-called KM3NET neutrino telescope [11] is planned to be constructed in the Mediterranean sea In view of this prospect, extensive studies have been performed on the possibility of deriving information on the mixing parameters of neutrinos by studying the flavor ratio of the neutrinos at the detector [12, 13, 14]. By measuring the flavor ratio at Earth, one can in principle derive the absolute values of the mixing matrix elements which yield information on the yet-unknown neutrino parameters θ13 and δ as well as the deviation of θ23 from π/4 [12, 13, 14, 15]. Several input and assumptions go into derivation of the flavor composition from the ratio of the shower-like events to the μ-track events.
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