Perfecting one-loop BCJ numerators in SYM and supergravity

被引:0
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作者
Alex Edison
Song He
Henrik Johansson
Oliver Schlotterer
Fei Teng
Yong Zhang
机构
[1] Northwestern University,Department of Physics and Astronomy
[2] Uppsala University,Department of Physics and Astronomy
[3] University of California,Kavli Institute for Theoretical Physics
[4] Chinese Academy of Sciences,CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics
[5] Hangzhou Institute for Advanced Study & ICTP-AP,School of Fundamental Physics and Mathematical Sciences
[6] UCAS,Institute for Gravitation and the Cosmos
[7] Nordita,undefined
[8] Stockholm University and KTH Royal Institute of Technology,undefined
[9] Pennsylvania State University,undefined
[10] Perimeter Institute for Theoretical Physics,undefined
关键词
Scattering Amplitudes; Extended Supersymmetry; Supergravity Models;
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摘要
We take a major step towards computing D-dimensional one-loop amplitudes in general gauge theories, compatible with the principles of unitarity and the color-kinematics duality. For n-point amplitudes with either supersymmetry multiplets or generic non-supersymmetric matter in the loop, simple all-multiplicity expressions are obtained for the maximal cuts of kinematic numerators of n-gon diagrams. At n = 6, 7 points with maximal supersymmetry, we extend the cubic-diagram numerators to encode all contact terms, and thus solve the long-standing problem of simultaneously realizing the following properties: color-kinematics duality, manifest locality, optimal power counting of loop momenta, quadratic rather than linearized Feynman propagators, compatibility with double copy as well as all graph symmetries. Color-kinematics dual representations with similar properties are presented in the half-maximally supersymmetric case at n = 4, 5 points. The resulting gauge-theory integrands and their supergravity counterparts obtained from the double copy are checked to reproduce the expected ultraviolet divergences.
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