Production of neutral and charged Higgs bosons of the MSSM at future e γ colliders -: art. no. 035009

A complete study for the production of neutral [h(0),H-0,A(0)(=phi(i)(0))] and charged Higgs (H+/-) bosons at electron-photon colliders is presented in the context of the minimal supersymmetric standard model. A particular choice of the nonlinear R-xi gauge is used to evaluate the amplitudes of the reaction e gamma --> phi(i)(0). The resulting cross section indicates that it will be possible to detect a signal from the neutral Higgs bosons for most regions of parameter space at the future linear colliders with root s = 500 GeV through the reaction e gamma --> e phi(i)(0). This reaction also offers the interesting possibility of measuring the Higgs boson mass through the detection of the outgoing electron. The production of the charged Higgs boson (H+) through the reaction e gamma --> v(e)H(+/-) has in general smaller values for the cross section, which seems more difficult to observe.