We estimate the dependence of $\nu_{ \mu}$ to $\nu_{ e}$ conversion on parameters $\theta_{ 13}$ and $\delta_{ CP}$ for several experimental facilities studying neutrino oscillations. We use the S-Matrix theory to estimate $\bar{ \nu_e}$ disappearance and compare estimates based on an older theory being used to extract $\theta_{ 13}$ from the Double Chooz, Daya Bay, and RENO data, to assist in extracting an accurate value for $\theta_{ 13}$ from these projects. We use values of $\theta_{ 13}$ within known limits, and estimate the dependence of $\nu_{ \mu}$ - $\nu_{ e}$ CP violation (CPV) probability on $\delta_{ CP}$ in order to suggest new experiments to measure CPV for neutrinos moving in matter.
Categories: hep-ph