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arXiv · 1212.1146

One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity

John Joseph M. Carrasco·Marco Chiodaroli·Murat Gunaydin·Radu Roiban
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Abstract

We construct all supergravity theories that can be obtained through factorized orbifold projections of N=8 supergravity, exposing their double-copy structure, and calculate their one-loop four-point scattering amplitudes. We observe a unified structure in both matter and gravity amplitudes, and demonstrate that the four-graviton amplitudes are insensitive to the precise nature of the matter couplings. We show that these amplitudes are identical for the two different realizations of N=4 supergravity with two vector multiplets, and argue that this feature extends to all multiplicities and loop orders as well as to higher dimensions. We also construct a selected set of supergravities obtained through a non-factorized orbifold action. Furthermore we calculate one-loop four-point amplitudes for all pure super-Yang-Mills theories with less-than-maximal supersymmetry using the duality between color and kinematics, finding here a unified expression that holds for all four gluon amplitudes in the theories. We recover the related amplitudes of factorized N<=4 supergravities employing the double-copy construction. We observe a requirement that the four-point loop-level amplitudes have non-local integrand representations, exhibiting a mild non-locality in the form of inverse powers of the three external Mandelstam invariants. These are the first loop-level color-kinematic-satisfying representations in reduced supersymmetry theories.

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John Joseph M. Carrasco, Marco Chiodaroli, Murat Gunaydin, Radu Roiban. 2013-03-20. One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity. https://doi.org/10.1007/jhep03(2013)056

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