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

Journal Article · Fri Jun 12 00:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.102.232003· OSTI ID:21319494

Kidonakis, Nikolaos ^[1]

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1. Kennesaw State University, Kennesaw, Georgia 30144 (United States)

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{sup +}e{sup -}{yields}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.

• OSTI ID: 21319494
• Journal Information: Physical Review Letters, Vol. 102, Issue 23; Other Information: DOI: 10.1103/PhysRevLett.102.232003; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
APPROXIMATIONS
B QUARKS
C QUARKS
ELECTRON-POSITRON INTERACTIONS
ELECTRONS
GLUONS
HADRONS
PAIR PRODUCTION
POSITRONS
T QUARKS