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Double-copy constructions and unitarity cuts
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 3
2016 (English)In: Physical Review D, ISSN 2470-0010, Vol. 93, no 10, 105015Article in journal (Refereed) Published
Abstract [en]

The duality between color and kinematics enables the construction of multiloop gravity integrands directly from corresponding gauge-theory integrands. This has led to new nontrivial insights into the structure of gravity theories, including the discovery of enhanced ultraviolet cancellations. To continue to gain deeper understandings and probe these new properties, it is crucial to further improve techniques for constructing multiloop gravity integrands. In this paper, we show by example how one can alleviate difficulties encountered at the multiloop level by relaxing the color-kinematics duality conditions to hold manifestly only on unitarity cuts instead of globally on loop integrands. As an example, we use a minimal Ansatz to construct an integrand for the two-loop four-point nonsupersymmetric pure Yang-Mills amplitude in D dimensions that is compatible with these relaxed color-kinematics duality constraints. We then immediately obtain a corresponding gravity integrand through the double-copy procedure. Comments on ultraviolet divergences are also included.

Place, publisher, year, edition, pages
2016. Vol. 93, no 10, 105015
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-131532ISI: 000376005800017OAI: oai:DiVA.org:su-131532DiVA: diva2:945538
Available from: 2016-07-01 Created: 2016-06-21 Last updated: 2016-07-01Bibliographically approved

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Nohle, Josh
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Nordic Institute for Theoretical Physics (Nordita)
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