Spectral Measurement of the Electron Antineutrino Oscillation Amplitude and Frequency using 500 Live Days of RENO Data

The Reactor Experimentfor Neutrino Oscillation(RENO) has been taking electron antineutrino ($\ overline{\nu}_{e}$) data from the reactors in Yonggwang, Korea, using two identical detectors since August 2011. Using roughly 500 live days of data through January 2013 we observe 290,775 (31,514) reactor $\ overline{\nu}_{e}$ candidate events with 2.8 (4.9)% background in the near (far) detector. The observed visible positron spectra from the reactor $\ overline{\nu}_{e}$ events in both detectors show discrepancy around 5 MeV with regard to the prediction from the current reactor $\ overline{\nu}_{e}$ model. Based on a far-to-near ratio measurementusing the spectral and rate information we have obtained $\sin^2 2 \theta_{13} = 0.082 \pm 0.009({\rm stat.}) \pm 0.006({\rm syst.})$ and $|\Delta m_{ee}^2| =[2.62_{-0.23}^{+0.21}({\rm stat.})_{-0.13}^{+0.12}({\rm syst.})]\times 10^{-3}$eV$^2$.