Virtuous trees at five- and six-point levels for Yang-Mills theory and gravity

Johannes Broedel*, John Joseph Carrasco

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


We present a particularly nice D-dimensional graph-based representation of the full color-dressed five-point tree-level gluon amplitude. It possesses the following virtues: (1)it satisfies the color-kinematic correspondence, and thus trivially generates the associated five-point graviton amplitude, (2)all external-state information is encoded in color-ordered partial amplitudes, and (3)one function determines the kinematic contribution of all graphs in the Yang-Mills amplitude, so the associated gravity amplitude is manifestly permutation symmetric. The third virtue, while shared among all known loop-level correspondence-satisfying representations, is novel for tree-level representations sharing the first two virtues. This new D-dimensional representation makes contact with the recently found multiloop five-point representations, suggesting all-loop, all-multiplicity ramifications through unitarity. Additionally we present a slightly less virtuous representation of the six-point maximally helicity-violating (MHV) and MHV̄ amplitudes that holds only in four dimensions.

Original languageEnglish (US)
Article number085009
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8
StatePublished - Oct 11 2011

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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