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The Daya Bay Reactor Neutrino Experiment has measured a non-zero value for the neutrino mixing angle $\theta_{13}$ with a significance of 5.2 standard deviations.
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The survival probability used in the χ 2 \chi^{2} was P s u r = 1 − sin 2 2 θ 13 sin 2 ( 1.267 Δ m 31 2 L / E ) − cos 4 θ 13 sin 2 2 θ 12 sin 2 ( 1.267 Δ m 21 2 L / E ) P_{sur}=1-\sin^{2}2\theta_{13}\sin^{2}(1.267\Delta m^{2}_{31}L/E)-\\ \cos^{4}\theta_{13}\sin^{2}2\theta_{12}\sin^{2}(1.267\Delta m^{2}_{21}L/E) where, Δ m 31 2 = 2.32 × 10 − 3 eV 2 , sin 2 2 θ 12 = 0.861 − 0.022 + 0.026 \\ \Delta m^{2}_{31}=2.32\times 10^{-3}{\rm eV}^{2},\sin^{2}2\theta_{12}=0.861^{+0.026}_{-0.022} , and Δ m 21 2 = 7.59 − 0.21 + 0.20 × 10 − 5 eV 2 \\ \Delta m^{2}_{21}=7.59^{+0.20}_{-0.21}\times 10^{-5}{\rm eV}^{2} . The uncertainty in Δ m 31 2 \Delta m_{31}^{2} [ 30 ] has not been included in the fit. The fit sin 2 2 θ 13 \sin^{2}2\theta_{13} will change by +0.0007 and -0.0004 when Δ m 31 2 \Delta m^{2}_{31} changes by one standard deviation
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Without correcting for the non-linearity of the detector response, we have performed a preliminary shape analysis that yielded a consistent result for sin 2 2 θ 13 \sin^{2}2\theta_{13}
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