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

By Song He, Oliver Schlotterer and Yong Zhang


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

Topics: Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
Publisher: Elsevier
Year: 2018
DOI identifier: 10.1016/j.nuclphysb.2018.03.003
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