Higgs-strahlung in Abelian Extended Supersymmetric Standard Model

We analyze the Higgs production via the Higgs-strahlung process $e^{+}e^{-}\to h_{k}{\it{l}}^{+}{\it{l}}^{-}$ in an Abelian Extended Supersymmetric SM. We work in the large Higgs trilinear coupling driven minimum of the potential, and find that the next-to-lightest Higgs cannot be produced by this process. Other Higgs scalars, namely the lightest and the heaviest, have cross sections comparable to that in the pure SM. It is found that the present model has observable differences with the other popular model, NMSSM, in the same type of minimum.