Double Bubble Corrections to Heavy Quark Production

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, latex, 17 figures, the complete postscript file of this preprint, including figures, is available via anonymous ftp a

Scientific paper

10.1016/0370-2693(96)00789-7

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 selfenergy 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.

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