Testing Higgs self-couplings at e(+)e(-) linear colliders

To establish the Higgs mechanism sui generis experimentally the self-energy potential of the Higgs field must be reconstructed. This task requires the measurement of the trilinear and quadrilinear self-couplings, as predicted , for instance, in the Standard Moder or in supersymmetric theories. The co uplings can be probed in multiple Higgs production at high-luminosity e(+)e (-) linear colliders. Complementing earlier studies to develop a coherent p icture of the trilinear couplings, we have analyzed the production of pairs of neutral Higgs bosons in all relevant channels of double Higgs-strahlung , associated multiple Higgs production and WW/ZZ fusion to Higgs pairs.