Full one-loop electroweak radiative corrections to single Higgs production in e+e−

We present the full O(α) electroweak radiative corrections to single Higgs production in e+e−. This takes into account the full one-loop corrections as well as the effects of hard photon radiation. We include both the fusion and Higgsstrahlung processes. The computation is performed with the help of GRACE-loop where we have implemented a generalised non-linear gauge fixing condition. The latter includes 5 gauge parameters that can be used for checks on our results. Besides the UV, IR finiteness and gauge parameter independence checks prove also powerful to test our implementation of the 5-point function. We find that for a 500 GeV machine and a light Higgs of mass 150 GeV, the total O(α) correction is small when the results are expressed in terms of αQED. The total correction decreases slightly for higher energies. For moderate centre of mass energies the total O(α) decreases as the Higgs mass increases, reaching −10% for MH=350 GeV and s=500 GeV. In order to quantify the genuine weak corrections we have subtracted the universal virtual and bremsstrahlung correction from the full O(α). We find, for MH=150 GeV, a weak correction slowly decreasing from −2% to −4% as the energy increases from s=300 GeV to s=1 TeV after expressing the tree-level results in terms of Gμ.