Scattering equations and virtuous kinematic numerators and dual-trace functions
arXiv:1404.7141 · doi:10.1007/JHEP07(2014)143
Abstract
Inspired by recent developments on scattering equations, we present a constructive procedure for computing symmetric, amplitude-encoded, BCJ numerators for n-point gauge-theory amplitudes, thus satisfying the three virtues identified by Broedel and Carrasco. We also develop a constructive procedure for computing symmetric, amplitude-encoded dual-trace functions (tau) for n-point amplitudes. These can be used to obtain symmetric kinematic numerators that automatically satisfy color-kinematic duality. The S_n symmetry of n-point gravity amplitudes formed from these symmetric dual-trace functions is completely manifest. Explicit expressions for four- and five-point amplitudes are presented.
24 pages; v2: minor sign corrections, added references; v3: minor corrections, published version
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Cited by in corpus (14)
- Black holes and the double copy
- The Kerr-Schild double copy in curved spacetime
- Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
- Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
- Manifesting Color-Kinematics Duality in the Scattering Equation Formalism
- Expansion of All Multitrace Tree Level EYM Amplitudes
- Scattering Equations and String Theory Amplitudes
- CHY representations for gauge theory and gravity amplitudes with up to three massive particles
- The Scattering Variety
- BCJ relations from a new symmetry of gauge-theory amplitudes
- Color kinematic symmetric (BCJ) numerators in a light-like gauge
- Infrared behaviour of the one-loop scattering equations and supergravity integrands
- Off-shell BCJ Relation in Nonlinear Sigma Model
- Note on off-shell relations in nonlinear sigma model