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Seminar by Gang Chen

Abstract

HEFT kinematic algebra, heavy double copy and classical gravitational scattering

In this talk, I will introduce the kinematic algebra and a new double copy in heavy effective field theory (HEFT). I will also present the application of the novel double copy to classical gravitational scattering. Recently we proposed 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. A new infinite dimensional HEFT kinematic algebra is constructed by introducing the abstract tensors and the binary fusion rules between them. In this set-up, the closed form of the BCJ numerators is obtained from the fusion rules directly. They are manifestly gauge invariance, local and fully crossing symmetric. They also have a simple factorisation behaviour on the heavy mass propagators. We use these HEFT amplitudes to propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms. We use this method to compute the scattering angle up to third post-Minkowskian order in four dimensions, including radiation reaction contributions.

Event collection(s)

Oct282021

Seminar by Gang Chen

Higgs Centre Seminar Room, JCMB
The Higgs Centre for Theoretical Physics
School of Physics and Astronomy
James Clerk Maxwell Building
Peter Guthrie Tait Road
Edinburgh
EH9 3FD
UK