SU(N) group-theory constraints on color-ordered five-point amplitudes at all loop orders

Abstract

Color-ordered amplitudes for the scattering of n particles in the adjoint representation of SU(N) gauge theory satisfy constraints arising solely from group theory. We derive these constraints for n=5 at all loop orders using an iterative approach. These constraints generalize well-known tree-level and one-loop group theory relations.

16 pages, no figures; v2: minor corrections and clarifications, published version

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Cited by in corpus (21)

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• Analytic result for a two-loop five-particle amplitude
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• Multi-Quark Colour Decompositions from Unitarity
• On powercounting in perturbative quantum gravity theories through color-kinematic duality
• Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}=4$ Super Yang-Mills and $\mathcal{N}=8$ Supergravity
• Full Colour for Loop Amplitudes in Yang-Mills Theory
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• On General BCJ Relation at One-loop Level in Yang-Mills Theory
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• Symmetric-group decomposition of SU(N) group-theory constraints on four-, five-, and six-point color-ordered amplitudes
• An $n$-point QCD two-loop amplitude
• Group-theoretic relations for partial amplitudes in gauge theories with orthogonal group
• Group-theoretic relations for amplitudes in gauge theories with orthogonal and symplectic groups
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
• Group constraint relations for five-point amplitudes in gauge theories with SO(N) and Sp(2N) groups