Gravity Amplitudes as Generalized Double Copies of Gauge-Theory Amplitudes

Physical Review Letters
Zvi BernR Roiban

Abstract

Whenever the integrand of a gauge-theory loop amplitude can be arranged into a form where the Bern-Carrasco-Johansson 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 N=8 supergravity.

References

May 16, 2007·Physical Review Letters·Z BernR Roiban
Sep 28, 2010·Physical Review Letters·Zvi BernHenrik Johansson
Sep 26, 2012·Physical Review Letters·Zvi BernYu-tin Huang
Sep 26, 2012·Physical Review Letters·Till BargheerTristan McLoughlin
Feb 2, 2013·Physical Review Letters·Z BernR Roiban
Jan 31, 2014·Physical Review Letters·Zvi BernVladimir A Smirnov
Apr 22, 2014·Physical Review Letters·L BorstenS Nagy
Dec 20, 2014·Physical Review Letters·A AnastasiouS Nagy
Feb 25, 2017·Physical Review Letters·Rutger H Boels, Ricardo Medina

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Citations

Jul 22, 2018·Physical Review Letters·Carlos R Mafra, Oliver Schlotterer
May 29, 2021·Physical Review Letters·Leron BorstenMartin Wolf

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