Neutrino oscillations in a magnetic field considered within the formalism of wave packets. Damping of neutrino oscillations in a magnetic field due to neutrino wave packets separation is studied. The expressions for neutrino oscillations probabilities in a magnetic field accounting for decoherence effects are obtained. It is shown that the coherence lengths of oscillations on magnetic frequencies are proportional to the cube of neutrino energy. The obtained results are of interest for neutrino telescopes IceCube, Baikal-GVD and KM3NeT, and also can be applied for description of supernovae neutrino oscillations effects would be detected by JUNO, Hyper-Kamiokande and DUNE.
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$^2$1 Physics Faculty of M.V. Lomonosov Moscow State University
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