Two-Loop Soft Anomalous Dimensions and Next-to-Next-to-Leading-Logarithm Resummation for Heavy Quark Production

2009/03/31 by Nikolaos Kidonakis · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #hep-ex #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.102.232003

published as Phys.Rev.Lett.102:232003,2009 · 10 pages, 6 figures; improved form of the analytical result; equation added

arxiv created 2009/05/18 · openalex publication_date 2009/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 accuracy. I derive an explicit expression for the exact result and study it numerically for top quark production via e(+)e(-)-->tt, 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.

Citations

• Observation of the Top Quark
• Observation of Top Quark Production in Pbar-P Collisions
• Top-quark physics at the LHC
• Heavy-Flavor Production at Accelerators
• Status of Eikonal Two-Loop Calculations with Massive Quarks
• Top quark physics at the LHC

Cited by

• Next-to-next-to-leading logarithm resummation fors-channel single top quark production
• Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders
• Top quark transverse momentum and rapidity distributions
• Threshold expansion of massive coloured particle cross sections