Neutrino Oscillation in Matter and Parameters $s_{13},{\delta }_{CP}$

Abstract

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 $\overline{{\nu }_e}$ 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.

14 pages, 5 figures. arXiv admin note: text overlap with arXiv:1105.2741

References in corpus (3)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Long-Distance Dominance of the CP Asymmetry in B->X_{s,d}+gamma Decays
• Long-Range Lepton Flavor Interactions and Neutrino Oscillations

Cited by in corpus (1)

• CP violating Tri-bimaximal-Cabibbo mixing