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High Energy Physics - Theory, hep-th
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 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.