Double Bubble Corrections to Heavy Quark Production

Abstract

Second order $\mathcal{O}({\alpha }_s^2)$ 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 $\mathcal{O}({\alpha }_s^3)$ and $\mathcal{O}({\alpha }_s^4)$ 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.

9 pages, latex, 17 figures, the complete postscript file of this preprint, including figures, is available via anonymous ftp at ftp://www-ttp.physik.uni-karlsruhe.de/ttp96-04/ttp96-04.ps (129.13.102.139) or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/

References in corpus (5)

• Heavy Quark Vacuum Polarisation to Three Loops
• Radiation of Light Fermions in Heavy Fermion Production
• Angular Distributions of Massive Quarks and Leptons Close to Threshold
• Unknotting the polarized vacuum of quenched QED
• Radiation of Heavy Quarks

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• Results and Techniques of Multi-Loop Calculations
• Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD
• QCD Parameters Correlations from Heavy Quarkonia
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• Bottom quark mass and alpha_s from the Upsilon system
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks
• Determination of the strong coupling constant from the CLEO measurement of the total hadronic cross section in $e^{+}{e}^{-}$ annihilation below 10.56 GeV
• A multiloop improvement of non-singlet QCD evolution equations
• Energy interval 3S-1S in muonic hydrogen
• Convergence and Gauge Dependence Properties of the Resummed One-loop Quark-Quark Scattering Amplitude in Perturbative QCD