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  One-Loop StringScatteringAmplitudes as Iterated Eisenstein Integrals

Schlotterer, O., & Broedel, J. (2019). One-Loop StringScatteringAmplitudes as Iterated Eisenstein Integrals. In J. Blümlein (Ed.), Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, Texts & Monographs in Symbolic Computation (pp. 133-159 ). Springer Nature Switzerland AG.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-A1CB-2 Version Permalink: https://hdl.handle.net/21.11116/0000-0003-A1CC-1
Genre: Conference Paper

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Broedel-Schlotterer2019_Chapter_One-LoopStringStringScattering.pdf (Publisher version), 461KB
 
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 Creators:
Schlotterer, Oliver1, Author           
Broedel , Johannes, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: In these proceedings we review and expand on the recent appearance of iterated integrals on an elliptic curve in string perturbation theory. We represent the low-energy expansion of one-loop open-string amplitudes at multiplicity four and five as iterated integrals over holomorphic Eisenstein series. The framework of elliptic multiple zeta values serves as a link between the punctured Riemann surfaces encoding string interactions and the iterated Eisenstein integrals in the final results. In the five-point setup, the treatment of kinematic poles is discussed explicitly.

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 Dates: 2019
 Publication Status: Issued
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 Identifiers: DOI: 10.1007/978-3-030-04480-0_7
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Title: KMPB Conference : Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
Place of Event: Zeuthen, Germany
Start-/End Date: 2017-10-23 - 2017-10-26

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Title: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, Texts & Monographs in Symbolic Computation
Source Genre: Proceedings
 Creator(s):
Blümlein, J., Editor
Affiliations:
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Publ. Info: Springer Nature Switzerland AG
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 133 - 159 Identifier: -