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

MPG-Autoren
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Schlotterer,  Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1706.00640.pdf
(Preprint), 539KB

NPB930_328.pdf
(Verlagsversion), 737KB

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Zitation

He, S., Schlotterer, O., & Zhang, Y. (2018). New BCJ representations for one-loop amplitudes in gauge theories and gravity. Nuclear Physics B, 930, 328-383. doi:10.1016/j.nuclphysb.2018.03.003.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-002D-8CAB-F
Zusammenfassung
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 is independent on the amount of supersymmetry or 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.