Neutrino Transition in Dark Matter

An ultralight dark matter may have interesting implications in neutrino physics which have been studied actively in recent years. It is pointed out that there appears yet unexplored medium effect in neutrino transitions which occurs at the first order in perturbation of the neutrino-medium interaction. We derive the general formula for the neutrino transition probability in a medium which describes the standard neutrino oscillation as well as the new medium contribution. It turns out that such an effect constrains the model parameter space more than ever.
Comment: 10 pages, 3 figures, Revised with calculational details, more explanations and references