Full O(α) electroweak corrections to double Higgs-strahlung at the linear collider

We present the full phi(alpha) electroweak radiative corrections to the double Higgs-strahlung process e(+)e(-) --> ZHH. The computation is performed-with the help of GRACE-loop. After subtraction of the initial state QED radiative corrections, we find that the genuine weak corrections in the alpha-scheme are small for Higgs masses and energies where this cross section is largest and is most likely to be studied. These corrections decrease with increasing energies attaining about similar to-10% at roots = 1. 5 TeV. The full phi(alpha) correction on the other hand is quite large at threshold but small at energies around the peak. We also study changes in the shape of the invariant mass of the Higgs pair which has been shown to be a good discriminating variable for the measurement of the triple Higgs vertex in this reaction. (C) 2003 Elsevier B.V. All rights reserved.