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  Loop-level KLT, BCJ and EYM amplitude relations

He, S., & Schlotterer, O. (in preparation). Loop-level KLT, BCJ and EYM amplitude relations.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-59BE-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-59BF-F
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1612.00417.pdf (Preprint), 171KB
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 Creators:
He, Song1, Author              
Schlotterer, Oliver2, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: In this letter, we extend the tree-level Kawai--Lewellen--Tye (KLT) and Bern--Carrasco--Johansson (BCJ) amplitude relations to loop integrands of gauge theory and gravity. By rearranging the propagators of gauge and gravity loop integrands, we propose the first manifestly gauge- and diffeomorphism invariant formulation of their double-copy relations. The one-loop KLT formula expresses gravity integrands in terms of more basic gauge invariant building blocks for gauge-theory amplitudes, dubbed partial integrands. The latter obey a one-loop analogue of the BCJ relations, and both KLT and BCJ relations are universal to bosons and fermions in any number of spacetime dimensions and independent on the amount of supersymmetry. Also, one-loop integrands of Einstein--Yang--Mills (EYM) theory are related to partial integrands of pure gauge theories. Finally, we briefly report on preliminary two-loop evidence that the KLT formula can be extended to any loop order.

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 Dates: 2016-12-01
 Publication Status: Not specified
 Pages: 6 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1612.00417
URI: http://arxiv.org/abs/1612.00417
 Degree: -

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