Precision Measurement of Neutrino Oscillation Parameters with KamLAND
The KamLAND Collaboration
Abstract
The KamLAND experiment has determined a precise value for the neutrino oscillation parameter $Δm^{2}_{21}$ and stringent constraints on $θ_{12}$. The exposure to nuclear reactor anti-neutrinos is increased almost fourfold over previous results to 2.44$\times10^{32}$ proton-yr due to longer livetime and an enlarged fiducial volume. An undistorted reactor $\barν_{e}$ energy spectrum is now rejected at >5$σ$. Extending the analysis down to the inverse beta decay energy threshold, and incorporating geo-neutrinos, gives a best-fit at $Δm^{2}_{21}$= $7.58^{+0.14}_{-0.13}(stat)^{+0.15}_{-0.15}(syst)\times10^{-5}$ eV$^{2}$ and $\tan^2 θ_{12}$=$0.56^{+0.10}_{0.07}(stat)^{+0.10}_{-0.06}(syst)$. Local $Δχ^2$-minima at higher and lower $Δm^{2}_{21}$ are disfavored at >4$σ$. Combining with solar neutrino data, we obtain $Δm^{2}_{21}$= $7.59^{+0.21}_{-0.21}\times10^{-5}$ eV$^{2}$ and $\tan^2 θ_{12}$=$0.47^{+0.06}_{-0.05}$.
