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  Holomorphic subgraph reduction of higher-point modular graph forms

Gerken, J. E., & Kaidi, J. (2019). Holomorphic subgraph reduction of higher-point modular graph forms. Journal of high energy physics: JHEP, 2019(01): 131. doi:10.1007/JHEP01(2019)131.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-50BC-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F956-5
Genre: Journal Article

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 Creators:
Gerken, Jan E.1, Author              
Kaidi, Justin, Author
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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,Mathematics, Number Theory, math.NT
 Abstract: Modular graph forms are a class of modular covariant functions which appear in the genus-one contribution to the low-energy expansion of closed string scattering amplitudes. Modular graph forms with holomorphic subgraphs enjoy the simplifying property that they may be reduced to sums of products of modular graph forms of strictly lower loop order. In the particular case of dihedral modular graph forms, a closed form expression for this holomorphic subgraph reduction was obtained previously by D'Hoker and Green. In the current work, we extend these results to trihedral modular graph forms. Doing so involves the identification of a modular covariant regularization scheme for certain conditionally convergent sums over discrete momenta, with some elements of the sum being excluded. The appropriate regularization scheme is identified for any number of exclusions, which in principle allows one to perform holomorphic subgraph reduction of higher-valence modular graph forms with arbitrary holomorphic subgraphs.

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 Dates: 2018-09-132019
 Publication Status: Published in print
 Pages: 35 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1809.05122
URI: http://arxiv.org/abs/1809.05122
DOI: 10.1007/JHEP01(2019)131
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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: 2019 (01) Sequence Number: 131 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002