Speaker
Description
As long-baseline efforts are ramped up over coming years, it is important understand how the presence of matter affects neutrino oscillations. In this talk I will discuss precision oscillation probability formulas with matter effects. We have developed expressions that are simple, precise, and an actual expansion in the small parameters: $\sin^2\theta_{13}$ and $\Delta m^2_{21}/\Delta m^2_{31}$. In addition, our expressions return to the exact expression in vacuum. I will also present some recent results on understanding CP violation in matter which show that the matter effect of the Jarlskog simply factorizes into atmospheric and solar contributions.