Production of non-linear SUSY Higgs bosons at e+e− colliders

We investigate the Higgs sector of a non-linear sypersymmetric standard model at LEP 1 and LEP 2, as well as at future linear e+e− colliders with s = 500, 1000, and 2000 GeV. The LEP 1 data do not put any constraints on the parameters of the model, and allow a massless Higgs boson in particular. For LEP 2, there are remarkable differences between the Higgs productions at s = 175 GeV on the one hand and that at s = 192 GeV and 205 GeV on the other hand. The case for s = 175 GeV is similar to LEP 1, whereas those for s = 192 GeV and 205 GeV will be able to give experimental constraints on the parameters. Finally the e+e− colliders with s = 500, 1000, and 2000 GeV are most probably able to test the model conclusively.