====== TTP96-04 DOUBLE BUBBLE CORRECTIONS TO HEAVY QUARK PRODUCTION ====== Second order ${\cal O}(\alpha_s^2)$ corrections to the heavy quark production cross-section due to massless quarks and coloured scalars are calculated for all energies above threshold. Based on the method introduced in this letter also the gauge non-invariant second order corrections due to the pure gluonic self-energy insertion and a certain class of ${\cal{O}}(\alpha_s^3)$ and ${\cal{O}}(\alpha_s^4)$ corrections are determined. For the special choice of the gauge parameter, $\xi=4$, the leading threshold and high energy behaviour of the pure second order gluonic corrections to the cross-section are governed by the gluonic self-energy insertion. |**K.G. Chetyrkin, A.H. Hoang, J.H. Kuehn, M. Steinhauser, T. Teubner** | |** Phys. Lett. B 384 233-240 1996 ** | | {{preprints:1996:ttp96-04.pdf|PDF}} {{preprints:1996:ttp96-04.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9603313|arXiv]] | | |