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New BCJ representations for one-loop amplitudes in gauge theories and gravity

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arxiv 1706.00640 v2 pith:HP73GBXH submitted 2017-06-02 hep-th

Song He , Oliver Schlotterer , Yong Zhang This is my paper · ORCID
classification hep-th
keywords amplitudesloopone-loopgaugeintegrandsnumberrepresentationstheories
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We explain a procedure to manifest the Bern-Carrasco-Johansson duality between color and kinematics in $n$-point one-loop amplitudes of a variety of supersymmetric gauge theories. Explicit amplitude representations are constructed through a systematic reorganization of the integrands in the Cachazo-He-Yuan formalism. Our construction holds for any nonzero number of supersymmetries and does not depend on the number of spacetime dimensions. The cancellations from supersymmetry multiplets in the loop as well as the resulting power counting of loop momenta is manifested along the lines of the corresponding superstring computations. The setup is used to derive the one-loop version of the Kawai-Lewellen-Tye formula for the loop integrands of gravitational amplitudes.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 96 citations worldwide. Full citation record

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