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

Dorigoni, Daniele; Kleinschmidt, Axel; Treilis, Rudolfs

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1183388