Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-12-18
Phys.Lett. B559 (2003) 252-262
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 3 figures. Only correction is a reference to a web-page
Scientific paper
10.1016/S0370-2693(03)00339-3
We present the full ${{\cal O}}(\alpha)$ electroweak radiative corrections to single Higgs production in \epemt. This takes into account the full one-loop corrections as well as the effects of hard photon radiation. We include both the fusion and Higgs-strahlung processes. The computation is performed with the help of {\tt 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 it proves also powerful to test our implementation of the 5-point function. We find that for a 500GeV machine and a light Higgs of mass 150GeV, the total ${{\cal O}}(\alpha)$ correction is small when the results are expressed in terms of $\alpha_{{\rm QED}}$. The total correction decreases slightly for higher energies. For moderate centre of mass energies the total ${{\cal O}}(\alpha)$ decreases as the Higgs mass increases, reaching -10% for $M_H=350$GeV and $\sqrt{s}=500$GeV. In order to quantify the genuine weak corrections we have subtracted the universal virtual and bremsstrahlung correction from the full ${{\cal O}}(\alpha)$. We find, for $M_H=150$GeV, a weak correction slowly decreasing from -2% to -4% as the energy increases from $\sqrt{s}=300$GeV to $\sqrt{s}=1$TeV after expressing the tree-level results in terms of $G_\mu$
Bélanger Guillaume
Boudjema Fawzi
Fujimoto Junpei
Ishikawa Tadashi
Kaneko Tak
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