From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop

Abstract

We relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integration over closed-string punctures are observed to follow from symmetrized open-string integrals through a tentative generalization of the single-valued projection known from genus zero.

arXiv comment48+15 pages, v2: replaced with published version

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Cited by in corpus (40)

• Collider Physics at the Precision Frontier
• An analytic solution for the equal-mass banana graph
• Supersymmetric phases of 4d N=4 SYM at large N
• The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals
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