Dual Identities inside the Gluon and the Graviton Scattering Amplitudes

Abstract

Recently, Bern, Carrasco and Johansson conjectured dual identities inside the gluon tree scattering amplitudes. In this paper, we use the properties of the heterotic string and open string tree scattering amplitudes to refine and derive these dual identities. These identities can be carried over to loop amplitudes using the unitarity method. Furthermore, given the $M$-gluon (as well as gluon-gluino) tree amplitudes, $M$-graviton (as well as graviton-gravitino) tree scattering amplitudes can be written down immediately, avoiding the derivation of Feynman rules and the evaluation of Feynman diagrams for graviton scattering amplitudes.

43 pages, 3 figures; typos corrected, a few points clarified.

References in corpus (6)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Multi-Parton Amplitudes in Gauge Theories
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Minimal Basis for Gauge Theory Amplitudes
• Simplifying the Tree-level Superstring Massless Five-point Amplitude

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• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
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• The double copy: Bremsstrahlung and accelerating black holes
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• Ultraviolet Properties of N = 8 Supergravity at Five Loops
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• The self-dual classical double copy, and the Eguchi-Hanson instanton
• BCJ duality and the double copy in the soft limit
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• Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory
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• Proof of Gravity and Yang-Mills Amplitude Relations
• String-inspired BCJ numerators for one-loop MHV amplitudes
• Generic multiloop methods and application to N=4 super-Yang-Mills
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• Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
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• More on the Classical Double Copy in Three Spacetime Dimensions
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• On General BCJ Relation at One-loop Level in Yang-Mills Theory
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• Structure of Kaluza-Klein Graviton Scattering Amplitudes from Gravitational Equivalence Theorem and Double-Copy
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• Note on symmetric BCJ numerator
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• Note on Construction of Dual-trace Factor in Yang-Mills Theory
• KLT-Like Behaviour of Inflationary Graviton Correlators
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