Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-07-02
Phys.Lett.B571:163-172,2003
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages, 2 figures. only change is the addition of one note stating that all our results have now been confirmed by an indepe
Scientific paper
10.1016/j.physletb.2003.07.072
We present the full ${{\cal O}}(\alpha)$ electroweak radiative corrections to associated Higgs top pair production in $e^+e^-$ collisions. We combine these results with a new calculation of the full one-loop QCD corrections. The computation is performed with the help of {\tt GRACE-loop}. We find that the ${{\cal O}}(\alpha)$ correction can be larger than the ${{\cal O}}(\alpha_s)$ corrections around the peak of the cross section especially for a light Higgs mass. At threshold these corrections are swamped by the QCD corrections which are enhanced by the gluon Coulomb contribution. We have also subtracted the complete QED corrections and expressed the genuine weak correction both in the $\alpha$-scheme and the $G_\mu$-scheme. This reveals that the genuine weak corrections are not negligible and should be taken into account for a precision measurement of this cross section and the extraction of the Yukawa $t \bar t H$ coupling.
Bélanger Guillaume
Boudjema Fawzi
Fujimoto Junpei
Ishikawa Tadashi
Kaneko Tak
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