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He S, Schlotterer O. New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level. Phys Rev Lett. 2017;118(16):161601doi: 10.1103/PhysRevLett.118.161601.
He, S., & Schlotterer, O. (2017). New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level. Physical review letters, 118(16), 161601. https://doi.org/10.1103/PhysRevLett.118.161601
He, Song, and Schlotterer, Oliver. "New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level." Physical review letters vol. 118,16 (2017): 161601. doi: https://doi.org/10.1103/PhysRevLett.118.161601
He S, Schlotterer O. New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level. Phys Rev Lett. 2017 Apr 21;118(16):161601. doi: 10.1103/PhysRevLett.118.161601. Epub 2017 Apr 21. PMID: 28474909.
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Phys Rev Lett. 2017 Apr 21;118(16):161601. doi: 10.1103/PhysRevLett.118.161601. Epub 2017 Apr 21.

New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level.

Physical review letters

Song He, Oliver Schlotterer

Affiliations

  1. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics & UCAS, Chinese Academy of Sciences, Beijing 100190, China.
  2. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, 14476 Potsdam, Germany.

PMID: 28474909 DOI: 10.1103/PhysRevLett.118.161601

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 theory are related to partial integrands of pure gauge theories.

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