New Relations for Gauge-Theory Amplitudes with Matter

Abstract

We extend a recently discovered set of relations for gauge-theory amplitudes to non-gluonic matter. For all MHV amplitudes we find that these can be made to hold for scalar/fermion/quark cases by inclusion of a factor derived via Ward identities. For six- and seven-point amplitudes with non-gluonic matter we explicitly confirm these relations for NMHV helicity configurations.

14 pages, added content, added references

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• Color-Kinematics Duality for QCD Amplitudes
• Algebras for Amplitudes
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• Gravity and Yang-Mills Amplitude Relations
• Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• Proof of Gravity and Yang-Mills Amplitude Relations
• Amplitude Relations in Non-linear Sigma Model
• Generic multiloop methods and application to N=4 super-Yang-Mills
• New Identities among Gauge Theory Amplitudes
• BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
• On-shell Recursion in String Theory
• An Introduction to On-shell Recursion Relations
• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• Monodromy--like Relations for Finite Loop Amplitudes
• Yang-Mills amplitude relations at loop level from non-adjacent BCFW shifts
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• On Primary Relations at Tree-level in String Theory and Field Theory
• Correlation functions of local composite operators from generalized unitarity
• On tree amplitudes with gluons coupled to gravitons
• String theory in target space
• Explicit BCJ numerators of nonlinear sigma model
• One-loop SYM-supergravity relation for five-point amplitudes
• Tree amplitudes of noncommutative U(N) Yang-Mills Theory
• Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity