Production of pseudoscalar Higgs-bosons in $e\,\gamma$ collisions

We investigate the production of a pseudoscalar Higgs-boson $A^0$ using the reaction $e\,\gamma\rightarrow e\,A^0$ at an $e\bar{e}$ collider with center of mass energy of 500 GeV. Supersymmetric contributions are included and provide a substantial enhancement to the cross section for most values of the symmetry breaking parameters. We find that, despite the penalty incurred in converting one of the beams into a source of backscattered photons, the $e\, \gamma$ process is a promising channel for the detection of the $A^0$.