Analytical Description of Neutrino Oscillations in the Earth

A. D. SUPANITSKY; J. C. DOLIVO; G. MEDINA-TANCO

Conferencia; XIII MEXICAN SCHOOL OF PARTICLES AND FIELDS; 2008

We present an analytical description of neutrino oscillations in matter based on the Magnus expansion of the time evolution operator. The approximated expressions obtained for the case of two neutrino mixing that propagate in the Earth potential, give considerably better results and in a wider energy range than the perturbative expressions existing in the literature. We apply our formalism to the case of low energy neutrinos which are relevant for the next generation of neutrino detectors.