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An accurate analytic description of neutrino oscillations in matter

MPG-Autoren
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Akhmedov,  Evgeny
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Niro,  Viviana
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Zitation

Akhmedov, E., & Niro, V. (2008). An accurate analytic description of neutrino oscillations in matter. Journal of High Energy Physics, JHEP12(2008)106: 106, pp. 1-14. doi:10.1088/1126-6708/2008/12/106.


Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0011-7814-4
Zusammenfassung
A simple closed-form analytic expression for the probability of two-flavour neutrinooscillations in a matter with an arbitrary density profile is derived. Our formula isbased on a perturbative expansion and allows an easy calculation of higher order corrections.The expansion parameter is small when the density changes relatively slowlyalong the neutrino path and/or neutrino energy is not very close to the Mikheyev-Smirnov-Wolfenstein (MSW) resonance energy. Our approximation is not equivalentto the adiabatic approximation and actually goes beyond it. We demonstrate the validityof our results using a few model density profiles, including the PREM densityprofile of the Earth. It is shown that by combining the results obtained from theexpansions valid below and above the MSW resonance one can obtain a very gooddescription of neutrino oscillations in matter in the entire energy range, includingthe resonance region.