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arXiv · 0903.2561

Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production

Abstract

I present results for two-loop soft anomalous dimensions for heavy quark production which control soft-gluon resummation at next-to-next-to-leading-logarithm (NNLL) accuracy. I derive an explicit expression for the exact result and study it numerically for top quark production via e+ e- -> t tbar, and I construct a surprisingly simple but very accurate approximation. I show that the two-loop soft anomalous dimensions with massive quarks display a simple proportionality relation to the one-loop result only in the limit of vanishing quark mass. I also discuss the extension of the calculation to single top and top pair production in hadron colliders.

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Nikolaos Kidonakis. 2009-05-18. Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production. https://doi.org/10.1103/physrevlett.102.232003

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