Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance

Details Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance

2005-06-07

arxiv.org/abs/hep-ph/0506064v2

Phys.Rev.Lett.95:211801,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 5 pages, 1 figure. Linestyles in the figure corrected to match their description in the caption; improved discussion of

Scientific paper

10.1103/PhysRevLett.95.211801

We present a formalism for precise description of oscillation phenomena in matter at high energies or high densities, V > \Delta m^2/2E, where V is the matter-induced potential of neutrinos. The accuracy of the approximation is determined by the quantity \sin^2 2\theta_m \Delta V/2\pi V, where \theta_m is the mixing angle in matter and \Delta V is a typical change of the potential over the oscillation length (l \sim 2\pi/V). We derive simple and physically transparent formulas for the oscillation probabilities, which are valid for arbitrary matter density profiles. They can be applied to oscillations of high energy (E > 10 GeV) accelerator, atmospheric and cosmic neutrinos in the matter of the Earth, substantially simplifying numerical calculations and providing an insight into the physics of neutrino oscillations in matter. The effect of parametric enhancement of the oscillations of high energy neutrinos is considered. Future high statistics experiments can provide an unambiguous evidence for this effect.

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