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The littlest Higgs model is the most economical one among various littleHiggs models. In the context of the littlest Higgs model, we study the process$e^{+}e^{-}\to e^{+}e^{-}H$ at the ILC and calculate the correction of thelittlest Higgs model to the cross section of this process. The results showthat, in the favorable parameter spaces preferred by the electroweak precisiondata, the value of the relative correction is in the range from a few percentto tens percent. In most case, the correction is large enough to reach themeasurement precision of the ILC. Therefore, the correction of the littlestHiggs model to the process $e^{+}e^{-}\to e^{+}e^{-}H$ might be detected at theILC which will give an ideal way to test the model.Comment: 12 pages, 4 figure

The correction of the littlest Higgs model to the Higgs production process e+e-→e+e-H at the ILC