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  Elliptic multiple zeta values and one-loop superstring amplitudes

Brödel, J., Mafra, C. R., Matthes, N., & Schlotterer, O. (2015). Elliptic multiple zeta values and one-loop superstring amplitudes. Journal of high energy physics: JHEP, 2015(07): 112. doi:10.1007/JHEP07(2015)112.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-6388-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-5A0C-1
Genre: Journal Article

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1412.5535.pdf (Preprint), 819KB
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 Creators:
Brödel, Johannes1, Author              
Mafra, Carlos R.1, Author              
Matthes, Nils, Author
Schlotterer, Oliver2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Number Theory, math.NT
 Abstract: We investigate iterated integrals on an elliptic curve, which are a natural genus-one generalization of multiple polylogarithms. These iterated integrals coincide with the multiple elliptic polylogarithms introduced by Brown and Levin when constrained to the real line. At unit argument they reduce to an elliptic analogue of multiple zeta values, whose network of relations we start to explore. A simple and natural application of this framework are one-loop scattering amplitudes in open superstring theory. In particular, elliptic multiple zeta values are a suitable language to express their low energy limit. Similar to the techniques available at tree-level, our formalism allows to completely automatize the calculation.

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 Dates: 2014-12-172015
 Publication Status: Published in print
 Pages: 38 pages, 1 figure
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1412.5535
DOI: 10.1007/JHEP07(2015)112
 Degree: -

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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: 2015 (07) Sequence Number: 112 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002