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A new gauge-invariant double copy for heavy-mass effective theory
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We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy matter particles in Yang-Mills and in gravity to leading order in the mass. In this set-up, the new BCJ numerators are fixed uniquely and directly written in terms of field strengths, making gauge invariance manifest. Furthermore, they are local and automatically satisfy the Jacobi relations and crossing symmetry. We construct these BCJ numerators explicitly up to six particles. We also discuss relations of the BCJ numerators in the heavy-mass effective theory with those in pure Yang-Mills amplitudes.
Forward citations
Cited by 3 Pith papers
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Gleaning gravitational amplitudes -- a double copy for canceling dilatons
An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.
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HEFT Numerators from Kinematic Algebra
The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.
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Lecture notes: Introduction to the Off-shell Double Copy Program
Self-contained lecture notes introduce the off-shell single/double copy relating Yang-Mills and DFDF gauge theories to Einstein-Hilbert, Weyl gravity and NS-NS supergravity via Kerr-Schild and Double Field Theory.
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