Oscillation probability of GeV solar neutrinos of all active species

Abstract

In this paper, I address the oscillation probability of $O(\mathrm{GeV})$ neutrinos of all active flavors produced inside the Sun and detected at the Earth. Flavors other than electron-type neutrinos may be produced, for example, by the annihilation of WIMPs which may be trapped inside the Sun. In the GeV energy regime, matter effects are important both for the ``1-3'' system and the ``1-2'' system, and for different neutrino mass hierarchies. A numerical scan of the multidimensional three-flavor parameter space is performed, ``inspired'' by the current experimental situation. One important result is that, in the three-flavor oscillation case, ${P}_{\ensuremath{\alpha}\ensuremath{\beta}}\ensuremath{\ne}{P}_{\ensuremath{\beta}\ensuremath{\alpha}}$ for a significant portion of the parameter space, even if there is no $\mathrm{CP}\ensuremath{-}\mathrm{v}\mathrm{i}\mathrm{o}\mathrm{l}\mathrm{a}\mathrm{t}\mathrm{i}\mathrm{n}\mathrm{g}$ phase in the neutrino mixing matrix. Furthermore, ${P}_{\ensuremath{\mu}\ensuremath{\mu}}$ has a significantly different behavior from ${P}_{\ensuremath{\tau}\ensuremath{\tau}},$ which may affect expectations for the number of events detected at large neutrino telescopes.