An analytical treatment of three neutrino oscillations in the Earth

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Aithousa Mitropoulos

Aithousa Mitropoulos

Megaron, Athens - Greece

Speakers

Dr Alexis A. Aguilar-Arevalo (INSTITUTO DE CIENCIAS NUCLEARES, UNAM)Dr Juan Carlos D'Olivo (INSTITUTO DE CIENCIAS NUCLEARES, UNAM)

Description

It is shown that the Magnus expansion for the evolution operator, when implemented in the adiabatic basis, provides a convenient formalism to find approximate solutions to the problem of three neutrino oscillations in a medium with an arbitrarily varying density. This method allows us to incorporate in a simple way the Earth matter effects on the transition probabilities for neutrinos with a wide interval of energies, making possible an accurate description of such effects in the case of solar and atmospheric neutrinos.

Primary authors

Dr Alexis A. Aguilar-Arevalo (INSTITUTO DE CIENCIAS NUCLEARES, UNAM) Dr Juan Carlos D'Olivo (INSTITUTO DE CIENCIAS NUCLEARES, UNAM)

Presentation materials

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