Neutrino Oscillation in Matter and Parameters $s_{13},δ_{CP}$

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

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