The Last of the Finite Loop Amplitudes in QCD

Journal Article · Tue May 31 00:00:00 EDT 2005 · Phys.Rev.D72:125003,2005

DOI:https://doi.org/10.1103/PhysRevD.72.125003· OSTI ID:890814

Bern, Zvi; Dixon, Lance J; Kosower, David A

We use on-shell recursion relations to determine the one-loop QCD scattering amplitudes with a massless external quark pair and an arbitrary number (n - 2) of positive-helicity gluons. These amplitudes are the last of the unknown infrared- and ultraviolet-finite loop amplitudes of QCD. The recursion relations are similar to ones applied at tree level, but contain new non-trivial features corresponding to poles present for complex momentum arguments but absent for real momenta. We present the relations and the compact solutions to them, valid for all n. We also present compact forms for the previously-computed one-loop n-gluon amplitudes with a single negative helicity and the rest positive helicity.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 890814
• Report Number(s): SLAC-PUB-11134; hep-ph/0505055; TRN: US0604810
• Journal Information: Phys.Rev.D72:125003,2005, Journal Name: Phys.Rev.D72:125003,2005
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
GLUONS
HELICITY
QUANTUM CHROMODYNAMICS
QUARKS
RECURSION RELATIONS
SCATTERING AMPLITUDES
TREES
Phenomenology-HEP
HEPPH
HEPTH
MATH