PROBING THE H-3 VERTEX E(-), GAMMA-E, AND GAMMA-GAMMA COLLISIONS FOR LIGHT AND INTERMEDIATE HIGGS BOSONS()E()

We study double Higgs boson production at future linear colliders whil e paying special attention to the option of high-energy and high-lumin osity photon beams. The main purpose is to examine the feasibility of e(+)e(-), gamma e, and gamma gamma colliders in order to establish bou nds on the value of triple Higgs coupling, which could be crucial for understanding a spontaneous breaking mechanism. We consider mainly tho se cases of light and intermediate Higgs bosons, including an analysis of the electroweak backgrounds. The mass range M(H) similar to M(Z) i s discussed separately. It is shown that for a light Higgs boson the H -3 coupling can be visible, even at a future linear e(+)e(-) collider at 500 GeV. For an intermediate Higgs boson, a collider with TeV energ ies is suitable for investigations. We estimate the bounds on the anom alous H-3 coupling which can be experimentally established at future l inear colliders.