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

Carrasco, J. J. M., Chiodarolia, M., Gunaydin, M., & Roiban, R. (2013). One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity. Journal of high energy physics: JHEP, 2013(03): 056. doi:10.1007/JHEP03(2013)056.

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 Creators:
Carrasco, John Joseph M., Author
Chiodarolia, Marco1, Author           
Gunaydin, Murat, Author
Roiban, Radu, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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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 Dates: 2012-12-052013-03-202013
 Publication Status: Issued
 Pages: 41 pages, 3 figures, PDFLaTeX, section 3.2 expanded, version accepted for publication in JHEP
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2013 (03) Sequence Number: 056 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002