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New relations for gauge-theory amplitudes

Journal Article · · Physical Review. D, Particles Fields
; ;  [1]
  1. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)

We present an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi identity for color factors. Using this we find new relations between color-ordered partial amplitudes. We discuss applications to multiloop calculations via the unitarity method. In particular, we illustrate the relations between different contributions to a two-loop four-point QCD amplitude. We also use this identity to reorganize gravity tree amplitudes diagram by diagram, offering new insight into the structure of the Kawai-Lewellen-Tye (KLT) relations between gauge and gravity tree amplitudes. This insight leads to similar but novel relations. We expect this to be helpful in higher-loop studies of the ultraviolet properties of gravity theories.

OSTI ID:
21254475
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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