Institute for Theoretical Particle Physics (TTP)

TTP96-04 DOUBLE BUBBLE CORRECTIONS TO HEAVY QUARK PRODUCTION

TTP96-04 DOUBLE BUBBLE CORRECTIONS TO HEAVY QUARK PRODUCTION

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
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