Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks

Abstract

Non-singlet $\mathcal{O}({\alpha }_s^2)$ corrections from light quarks are calculated analytically for the massive quark-antiquark pair production rates through the vector, axial-vector, scalar and pseudoscalar currents for all energies above the threshold. The results are presented in terms of the moments of the absorptive part of the vacuum polarization function of the light quarks which allows for an immediate determination of $\mathcal{O}({\alpha }_s^2)$ corrections coming from other types of light particles. The kinematic regime close to the threshold is examined.

38 pages, latex, four postscript figures included, some notational inconsistencies eliminated, misprints in Eqs.(102,124,171,172) corrected, references updated, identical with version printed in Nuclear Physics B

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• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Thermal quarkonium physics in the pseudoscalar channel
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• Uncertainties in the MSbar bottom quark mass from relativistic sum rules
• The two-loop soft function for heavy quark pair production at future linear colliders
• Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents
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