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

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

2009-03-14

arxiv.org/abs/0903.2561v3

Phys.Rev.Lett.102:232003,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 6 figures; improved form of the analytical result; equation added

Scientific paper

10.1103/PhysRevLett.102.232003

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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