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Ultraviolet properties of N=8 supergravity at five loops
Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA.
Univ Paris Saclay, CEA Saclay, Inst Theoret Phys, F-91191 Gif Sur Yvette, France;CNRS, F-91191 Gif Sur Yvette, France.
Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA.
Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA.
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2018 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 98, no 8, article id 086021Article in journal (Refereed) Published
Abstract [en]

We use the recently developed generalized double-copy construction to obtain an improved representation of the five-loop four-point integrand of N = 8 supergravity whose leading ultraviolet behavior we analyze using state-of-the-art loop-integral expansion and reduction methods. We find that the five-loop critical dimension where ultraviolet divergences first occur is D-c = 24/5, corresponding to a (DR4)-R-8 counterterm. This ultraviolet behavior stands in contrast to the cases of four-dimensional N = 4 supergravity at three loops and N = 5 supergravity at four loops whose improved ultraviolet behavior demonstrates enhanced cancellations beyond implications from standard symmetry considerations. We express this D-c = 24/5 divergence in terms of two relatively simple positive-definite integrals with vanishing external momenta, excluding any additional ultraviolet cancellations at this loop order. We note nontrivial relations between the integrals describing this leading ultraviolet behavior and integrals describing lower-loop behavior. This observation suggests not only a path towards greatly simplifying future calculations at higher loops, but may even allow us to directly investigate ultraviolet behavior in terms of simplified integrals, avoiding the construction of complete integrands.

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AMER PHYSICAL SOC , 2018. Vol. 98, no 8, article id 086021
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URN: urn:nbn:se:uu:diva-369091DOI: 10.1103/PhysRevD.98.086021ISI: 000447728500004OAI: oai:DiVA.org:uu-369091DiVA, id: diva2:1289524
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Swedish Research Council, 621-20145722Knut and Alice Wallenberg Foundation, KAW 2013.0235EU, European Research Council, ERC-STG-639729Available from: 2019-02-18 Created: 2019-02-18 Last updated: 2019-02-18Bibliographically approved

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Johansson, Henrik

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