To establish the Higgs mechanism experimentally, one has to determine the Higgs self-interaction potential responsible for the electroweak symmetry breaking. This requires a measurement of the trilinear and quadrilinear self-couplings of the Higgs particle, as predicted by the standard model. We propose that the trilinear Higgs self-coupling be measured in the process ! HH just above the kinematic threshold of 2M H , where M H is the Higgs mass. Our calculation shows that the statistical sensitivity of the cross section !HH to the Higgs self-coupling is maximal near the 2M H threshold for M H between 115 and 150 GeV, and is larger than the statistical sensitivities of e e ÿ !ZHH and e e ÿ ! HH to this coupling for 2E e 700 GeV.
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