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  Cancellation of divergences up to three loops in exceptional field theory

Bossard, G., & Kleinschmidt, A. (2018). Cancellation of divergences up to three loops in exceptional field theory. Journal of High Energy Physics, 2018(03): 100. doi:10.1007/JHEP03(2018)100.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-9AF1-B Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E89F-6
Genre: Journal Article

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 Creators:
Bossard, Guillaume1, Author              
Kleinschmidt, Axel2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity and 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 consider the tetrahedral three-loop diagram in $E_d$ exceptional field theory evaluated as a scalar diagram for four external gravitons. At lowest order in momenta, this diagram contributes to the $\nabla^6 R^4$ term in the low-energy effective action for M-theory. We evaluate explicitly the sums over the discrete exceptional field theory loop momenta that become sums over 1/2-BPS states in the compact exceptional space. These sums can be rewritten as Eisenstein series that solve the homogeneous differential equations that supersymmetry implies for the $\nabla^6 R^4$ coupling. We also show how our results, even though sums over 1/2-BPS states, are consistent with expected 1/4-BPS contributions to the couplings.

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 Dates: 2017-12-072018
 Publication Status: Published in print
 Pages: 40 pages
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 Rev. Method: -
 Identifiers: arXiv: 1712.02793
URI: http://arxiv.org/abs/1712.02793
DOI: 10.1007/JHEP03(2018)100
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2018 (03) Sequence Number: 100 Start / End Page: - Identifier: -