Collective neutrino oscillations accounting for neutrino quantum decoherence
January 04, 2021
In our previous studies (see  and references therein) we developed a new theoretical framework that enabled one to consider a new mechanism of neutrino quantum decoherence engendered by the neutrino radiative decay. In parallel, another framework was developed (see  and references therein) for the description of the neutrino quantum decoherence due to the non-forward neutrino scattering processes. Both mechanisms are described by the master equations in the Lindblad form.
In the present studies we are are not interested in a specific mechanism of neutrino quantum decoherence. Therefore, we use the general Lindblad master equation for the description of the neutrino quantum decoherence and do not fix an analytical expressions for the decoherence and relaxation parameters. We study the influence of the neutrino quantum decoherence on collective neutrino oscillations.
Collective neutrino oscillations is a phenomenon engendered by neutrino-neutrino interaction. It is significant in different astrophysical environments where the neutrino density is extremely high. Examples of such environments are the early universe, supernovae explosions, binary neutron stars, accretion discs of black holes. The effect of collective neutrino oscillations attracts the growing interest in sight of appearance of multi-messenger astronomy and constructing of newlarge-volume neutrino detectors that will be highly efficient for observing neutrino fluxes from supernovae explosions. Previously, it was shown that neutrino quantum decoherence can significantly modify the neutrino fluxes from reactors and the sun. Here below we study the influence of the neutrino quantum decoherence on supernovae neutrino fluxes. The peculiarity of the supernovae fluxes is that one of the main modes of neutrino oscillations in supernovae is engendered by the collective effects. Note, in the previous studies dedicated to the collective neutrino oscillations only the kinematical decoherence (see  and references therein) was accounted for.
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