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arXiv · hep-ph/9603313

Double Bubble Corrections to Heavy Quark Production

Abstract

Second order ${\cal O}(α_s^2)$ 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 ${\cal{O}}(α_s^3)$ and ${\cal{O}}(α_s^4)$ corrections are determined. For the special choice of the gauge parameter, $ξ=4$, 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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K. G. Chetyrkin, A. H. Hoang, J. H. Kuehn, M. Steinhauser, T. Teubner. 1996-03-14. Double Bubble Corrections to Heavy Quark Production. https://doi.org/10.1016/0370-2693(96)00789-7

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