Remarks on the identities of gluon tree amplitudes

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.087702· OSTI ID:21432451

Tye, S.-H. Henry; Yang, Zhang ^[1]

---

1. Laboratory for Elementary Particle Physics, Cornell University, Ithaca, New York 14853 (United States)

Recently, Bjerrum-Bohr, Damgaard, Feng, and Sondergaard derived a set of new interesting quadratic identities of the Yang-Mills (YM) tree scattering amplitudes, besides Bern-Carrasco-Johansson (BCJ) identities. Here we comment that these quadratic identities of YM amplitudes actually follow directly from the KLT (Kawai-Lewellen-Tye) relation for graviton-dilaton-axion scattering amplitudes (in four-dimensional spacetime). This clarifies their physical origin and also provides a simpler version of the new identities. We also comment that the recently discovered BCJ identities of YM helicity amplitudes, at least for the maximal helicity-violating case, can be verified by using (repeatedly) the Schouten identity. We also point out additional quadratic identities that can be written down from the KLT relations.

• OSTI ID: 21432451
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 8; Other Information: DOI: 10.1103/PhysRevD.82.087702; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FOUR-DIMENSIONAL CALCULATIONS
GLUONS
HELICITY
SCATTERING AMPLITUDES
SPACE-TIME
YANG-MILLS THEORY
AMPLITUDES
BOSONS
PARTICLE PROPERTIES