Magnus Expansion and Three-Neutrino Oscillations in Matter

Details Magnus Expansion and Three-Neutrino Oscillations in Matter Magnus Expansion and Three-Neutrino Oscillations in Matter

2003-02-03

arxiv.org/abs/hep-ph/0302017v3

J.Phys.Conf.Ser. 37 (2006) 161

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex4 style, 5 pages including 5 figures. Presented at Mexican School of Astrophysics 2002, Guanajuato, Mexico, 31 Jul - 7 A

Scientific paper

10.1088/1742-6596/37/1/028

We present a semi-analytical derivation of the survival probability of solar neutrinos in the three generation scheme, based on the Magnus approximation of the evolution operator of a three level system, and assuming a mass hierarchy among neutrino mass eigenstates. We have used an exponential profile for the solar electron density in our approximation. The different interesting density regions that appear throughout the propagation are analyzed. Finally, some comments on the allowed regions in the solar neutrino parameter space are addressed.

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