Abstract
Invoking increasingly higher dimension operators to encode novel UV physics in effective gauge and gravity theories traditionally means working with increasingly more finicky and difficult expressions. We find that the duality between color and kinematics provides a powerful tool towards drastic simplification. Local higher-derivative gauge and gravity operators at four points can be absorbed into simpler higher-derivative corrections to scalar theories, requiring only a small number of building blocks to generate gauge and gravity four-point amplitudes to all orders in mass dimension.
Highlights
Gravitational quantum scattering amplitudes—the invariant quantum evolution of what distance means in space and time, consistent in the classical limit with Einstein’s general relativity from the Einstein-Hilbert action (GR)—are much simpler than expected
Local higher-derivative gauge and gravity operators at four points can be absorbed into simpler higherderivative corrections to scalar theories, requiring only a small number of building blocks to generate gauge and gravity four-point amplitudes to all orders in mass dimension
While Yang-Mills (YM) theory is famously renormalizable in four dimensions, it ceases to be in higher dimensions, requiring new physics at short distances
Summary
Gravitational quantum scattering amplitudes—the invariant quantum evolution of what distance means in space and time, consistent in the classical limit with Einstein’s general relativity from the Einstein-Hilbert action (GR)—are much simpler than expected. Local higher-derivative gauge and gravity operators at four points can be absorbed into simpler higherderivative corrections to scalar theories, requiring only a small number of building blocks to generate gauge and gravity four-point amplitudes to all orders in mass dimension. Focusing on four-point tree level, we will identify all the single-trace consistent modifications to gauge theory compatible with supersymmetry in terms of three higherderivative scalar building blocks that, when double copied with Yang-Mills amplitudes, reproduce the open superstring.
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