Gravity Amplitudes as Generalized Double Copies of Gauge-Theory Amplitudes

Abstract : Whenever the integrand of a gauge-theory loop amplitude can be arranged into a form where the BCJ duality between color and kinematics is manifest, a corresponding gravity integrand can be obtained simply via the double-copy procedure. However, finding such gauge-theory representations can be challenging, especially at high loop orders. Here we show that we can instead start from generic gauge-theory integrands, where the duality is not manifest, and apply a modified double-copy procedure to obtain gravity integrands that include contact terms generated by violations of dual Jacobi identities. We illustrate this with three-, four- and five-loop examples in $\it N$=8 supergravity.
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Zvi Bern, John Joseph Carrasco, Wei-Ming Chen, Henrik Johansson, Radu Roiban. Gravity Amplitudes as Generalized Double Copies of Gauge-Theory Amplitudes. Physical Review Letters, American Physical Society, 2017, 118, pp.181602. ⟨10.1103/PhysRevLett.118.181602⟩. ⟨cea-01529645⟩

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