Abstract
The naive double-copy of (multi) loop amplitudes involving massive matter coupled to gauge theories will generically produce amplitudes in a gravitational theory that contains additional contributions from propagating antisymmetric tensor and dilaton states even at tree-level. We present a graph-based approach that combines the method of maximal cuts with double-copy construction to offer a systematic framework to isolate the pure Einstein-Hilbert gravitational contributions through loop level. Indeed this allows for a bootstrap of pure-gravitational results from the double-copy of massive scalar-QCD. We apply this to construct the novel result of the D-dimensional one-loop five-point QFT integrand relevant in the classical limit to generating observables associated with the radiative effects of massive black-hole scattering via pure Einstein-Hilbert gravity.
Highlights
Compatible with this duality both at tree level [6, 7], as well as at the one-loop integrand level [8]
We present a graph-based approach that combines the method of maximal cuts with double-copy construction to offer a systematic framework to isolate the pure Einstein-Hilbert gravitational contributions through loop level
Projective double copy allows us to construct the Einstein-Hilbert gravity numerator dressings for the graph topologies of the one-loop four-point amplitude that could possibly be relevant in the classical limit
Summary
The general form of a m-point L-loop gauge theory amplitude A(mL) in D space-time dimensions with gluons and massive particles can be written as. At four points this is responsible for so-called radiation zeros [59, 60] and happens for all assignations to only cubic graphs at this multiplicity It requires a specific generalized gauge choice at higher multiplicity and loop order, and can be made manifest in a wide web of theories [3], including nonsupersymmetric matter in the fundamental [6,7,8, 58]. This means that for Jacobi-triple color weights, Ci, the kinematic numerators, ni, satisfy the same anti-symmetry properties and Jacobi-like relations as the color factors. Such massive matter contact contributions are irrelevant to long-range predictions in any classical limit
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