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Infrared behaviour of the one-loop scattering equations and supergravity integrands

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arxiv 1412.3787 v1 pith:SO3UQCTO submitted 2014-12-11 hep-th

classification hep-th
keywords equationsone-loopambitwistorscatteringsolutionamplitudesinfraredintegrand
verification ladder T0 review T1 audit T2 compute T3 formal

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The recently introduced ambitwistor string led to a striking proposal for one-loop maximal supergravity amplitudes, localised on the solutions of the ambitwistor one-loop scattering equations. However, these amplitudes have not yet been explicitly analysed due to the apparent complexity of the equations that determine the localisation. In this paper we propose an analytic solution to the four-point one-loop scattering equations in the infrared (IR) regime of the amplitude. Using this solution, we compute the ambitwistor integrand and demonstrate that it correctly reproduces the four-graviton integrand, in the IR regime. This solution qualitatively extends to n points. To conclude, we explain that the ambitwistor one-loop scattering equations actually correspond to the standard Gross & Mende saddle point.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 63 citations worldwide. Full citation record

  1. On differential operators and unifying relations for $1$-loop Feynman integrands

    hep-th 2021-08 unverdicted novelty 7.0 of 10

    Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factor...

  2. Transmutation operators and expansions for $1$-loop Feynman integrands

    hep-th 2022-01 unverdicted novelty 6.0 of 10

    New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.

  3. Scalar-Graviton Amplitudes

    hep-th 2019-08 conditional novelty 6.0 of 10

    The paper gives recursive, covariant, D-dimensional tree amplitudes for two massive scalars and any number of gluons or gravitons, extending known four-dimensional results.

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