Electroweak radiative corrections to the Higgs-boson production in association with Z⁰-boson pair at e^+ e^- colliders

We present the full ${\cal O}(\alpha_{{ew}})$ electroweak radiative corrections to the Higgs-boson production in association with $Z^0$-boson pair at an electron-positron linear collider(LC) in the standard model. We analyze the dependence of the full one-loop corrections on the Higgs-boson mass $m_{H}$ and colliding energy $\sqrt{s}$. We find that the corrections significantly suppress the Born cross section, and the ${\cal O}(\alpha_{{ew}})$ electroweak radiative corrections are generally between 1.0% and -15% in our chosen parameter space, which should be taken into consideration in the future precise experiments.