A global fit determination of effective <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mn>31</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math> from baseline dependence of reactor <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mover accent="true"><mml:mi>ν</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:math> disappearance

Abstract

Recently, three reactor neutrino experiments, Daya Bay, Double Chooz and RENO\nhave directly measured the neutrino mixing angle $\\theta_{13}$. In this paper,\nanother important oscillation parameter, effective $\\Delta m_{31}^2$ (= $\\Delta\n\\tilde{m}_{31}^2$) is measured using baseline dependence of the reactor\nneutrino disappearance. A global fit is applied to publicly available data and\n$\\Delta \\tilde{m}_{31}^2 = 2.95^{+0.42}_{-0.61} \\times 10^{-3}$ eV$^2$,\n$\\sin^22\\theta_{13} = 0.099^{+0.016}_{-0.012}$ are obtained by setting both\nparameters free. This result is complementary to $\\Delta tilde{m}_{31}^2$ to be\nmeasured by spectrum shape analysis. The measured $\\Delta \\tilde{m}_{31}^2$ is\nconsistent with $\\Delta \\tilde{m}_{32}^2$ measured by $\\nu_{\\mu}$ disappearance\nin MINOS, T2K and atmospheric neutrino experiments within errors. The minimum\n$\\chi^2$ is small, which means the results from the three reactor neutrino\nexperiments are consistent with each other.\n