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The natural parametrization of cosmic neutrino oscillations

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abstract

The natural parameterization of vacuum oscillations in three neutrino flavors is studied. Compact and exact relations of its three parameters with the ordinary three mixing angles and CP violating phase are obtained. Its usefulness is illustrated by considering various applications: the study of the flavor ratio and of its uncertainties, the comparison of expectations and observations in the flavor triangle, the intensity of the signal due to Glashow resonance. The results in the literature are easily reproduced and in particular the recently obtained agreement of the observations of IceCube with the hypothesis of cosmic neutrino oscillations is confirmed. It is argued that a Gaussian treatment of the errors appropriately describes the effects of the uncertainties on neutrino oscillation parameters.

fields

hep-ph 1

years

2025 1

verdicts

CONDITIONAL 1

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  • Illuminating Very Heavy Dark Matter in the Earth with Tau Neutrinos hep-ph · 2025-05-14 · conditional · none · ref 71 · internal anchor

    Tau neutrino regeneration lets IceCube constrain dark matter annihilation in Earth's core for masses from 10^5 to 10^10 GeV, setting new upper limits on the spin-independent scattering cross section.