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To the cusp and back: resurgent analysis for modular graph functions

Dorigoni, Daniele; Kleinschmidt, Axel; Treilis, Rudolfs

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Authors

Daniele Dorigoni

Axel Kleinschmidt



Abstract

Modular graph functions arise in the calculation of the low-energy expansion of closed-string scattering amplitudes. For toroidal world-sheets, they are SL(2, ℤ)-invariant functions of the torus complex structure that have to be integrated over the moduli space of inequivalent tori. We use methods from resurgent analysis to construct the non-perturbative corrections arising for two-loop modular graph functions when the argument of the function approaches the cusp on this moduli space. SL(2, ℤ)-invariance will in turn strongly constrain the behaviour of the non-perturbative sector when expanded at the origin of the moduli space.

Citation

Dorigoni, D., Kleinschmidt, A., & Treilis, R. (2022). To the cusp and back: resurgent analysis for modular graph functions. Journal of High Energy Physics, 2022(11), https://doi.org/10.1007/jhep11%282022%29048

Journal Article Type Article
Acceptance Date Oct 31, 2022
Online Publication Date Nov 10, 2022
Publication Date 2022
Deposit Date Jan 16, 2023
Publicly Available Date Jan 16, 2023
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 11
DOI https://doi.org/10.1007/jhep11%282022%29048

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.




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