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

A Global Fit Determination of Effective $\Delta m_{31}^2$ from Baseline Dependence of Reactor $\bar{\nu}_e$ Disappearance