Author:
Geyer Yvonne,Monteiro Ricardo,Stark-Muchão Ricardo
Abstract
Abstract
We propose new formulae for the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are written as a double-forward limit of tree-level trivalent diagrams, and are inferred from the formalism of the two-loop scattering equations. We discuss the relationship between the formulae for non-supersymmetric theories and the Neveu-Schwarz sector of the formulae for maximally supersymmetric theories, which can be derived from ambitwistor strings. An important property of the loop integrands is that they are expressed in a representation that includes linear-type propagators. This representation exhibits a loop-level version of the colour- kinematics duality, which follows directly from tree level via the double-forward limit.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference141 articles.
1. E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys.252 (2004) 189 [hep-th/0312171] [INSPIRE].
2. R. Roiban, M. Spradlin and A. Volovich, On the tree level S matrix of Yang-Mills theory, Phys. Rev.D 70 (2004) 026009 [hep-th/0403190] [INSPIRE].
3. F. Cachazo, S. He and E.Y. Yuan, Scattering equations and Kawai-Lewellen-Tye orthogonality, Phys. Rev.D 90 (2014) 065001 [arXiv:1306.6575] [INSPIRE].
4. F. Cachazo, S. He and E.Y. Yuan, Scattering of Massless Particles in Arbitrary Dimensions, Phys. Rev. Lett.113 (2014) 171601 [arXiv:1307.2199] [INSPIRE].
5. F. Cachazo, S. He and E.Y. Yuan, Scattering of Massless Particles: Scalars, Gluons and Gravitons, JHEP07 (2014) 033 [arXiv:1309.0885] [INSPIRE].
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