Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-11-15
Phys.Rev.D65:073008,2002; Erratum-ibid.D66:039901,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages (RevTeX) + 5 figures (PostScript)
Scientific paper
10.1103/PhysRevD.65.073008
Analyses of observable supernova neutrino oscillation effects require the calculation of the electron (anti)neutrino survival probability P_ee along a given supernova matter density profile. We propose a simple analytical prescription for P_ee, based on a double-exponential form for the crossing probability and on the concept of maximum violation of adiabaticity. In the case of two-flavor transitions, the prescription is shown to reproduce accurately, in the whole neutrino oscillation parameter space, the results of exact numerical calculations for generic (realistic or power-law) profiles. The analytical approach is then generalized to cover three-flavor transitions with (direct or inverse) mass spectrum hierarchy, and to incorporate Earth matter effects. Compact analytical expressions, explicitly showing the symmetry properties of P_ee, are provided for practical calculations.
Fogli Gian Luigi
Lisi Eligio
Montanino Daniele
Palazzo Antonio
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