Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log

Abstract

We derive the threshold-resummed total cross section for heavy quark production in hadronic collisions accurate to next-to-next-to-leading logarithm, employing recent advances on soft anomalous dimension matrices for massive pair production in the relevant kinematic limit. We also derive the relation between heavy quark threshold resummations for fixed pair kinematics and the inclusive cross section. As a check of our results, we have verified that they reproduce all poles of the color-averaged q\bar{q} -> t\bar{t} amplitudes at two loops, noting that the latter are insensitive to the color-antisymmetric terms of the soft anomalous dimension.

18 pages; Expanded discussion, added references. Results unchanged.

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• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
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