Analysis of energy- and time-dependence of supernova shock effects on neutrino crossing probabilities

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Major changes both in the text and in the figures in order to include the effect of a step-like shock front density profile; f

Scientific paper

10.1103/PhysRevD.68.033005

It has recently been realized that supernova neutrino signals may be affected by shock propagation over a time interval of a few seconds after bounce. In the standard three-neutrino oscillation scenario, such effects crucially depend on the neutrino level crossing probability P_H in the 1-3 sector. By using a simplified parametrization of the time-dependent supernova radial density profile, we explicitly show that simple analytical expressions for P_H accurately reproduce the phase-averaged results of numerical calculations in the relevant parameter space. Such expressions are then used to study the structure of P_H as a function of energy and time, with particular attention to cases involving multiple crossing along the shock profile. Illustrative applications are given in terms of positron spectra generated by supernova electron antineutrinos through inverse beta decay.

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