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Color-Kinematics Duality and Double-Copy Construction for Amplitudes from Higher-Dimension Operators.

机译：高维算子振幅的颜色运动二重性和双拷贝构造。

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摘要

In the 1980s, Kawai, Lewellen and Tye (KLT) found a relation between tree-level open and closed string tree-level amplitudes, which implies after taking the field-theory limit that the color-ordered tree-level scattering amplitudes for gluons in Yang-Mills (YM) theories contain all the information necessary to construct the tree-level graviton scattering amplitudes in suitable gravity theories. More recently, Bern, Carrasco and Johansson (BCJ) discovered that it is possible to directly construct gravity amplitudes from gauge-theory amplitudes, if the latter can be organized so that their numerator factors respect a certain color-kinematics duality. This method for obtaining gravity amplitudes is known as the double-copy construction. Color-kinematics duality is associated with linear BCJ relations between color-ordered subamplitudes. The BCJ amplitude relations have been proven using string-theory monodromy relations and directly in field theory using the BCFW recursion relations. Given a color-kinematic dual representation for gauge theory, the double-copy construction has been proven to hold for all tree-level gravity amplitudes by Bern, Dennen, Huang, and Kiermaier. Furthermore, in contrast to the field-theory limit of the KLT relations, the double-copy construction has been conjectured to hold for integrands of loop-level amplitudes as well. This conjecture has been verified, at different levels, in numerous examples.

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