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Integral of two-loop modular graph functions

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arxiv 1905.06217 v2 pith:AU72RVGH submitted 2019-05-15 hep-th math.NT

Eric D'Hoker This is my paper · ORCID
classification hep-thmath.NT
keywords functionsgraphintegralmodulartwo-looparbitrarydomainevaluated
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abstract

The integral of an arbitrary two-loop modular graph function over the fundamental domain for $SL(2,Z)$ in the upper half plane is evaluated using recent results on the Poincar\'e series for these functions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points

    hep-th 2019-08 conditional novelty 8.0 of 10

    A-cycle integrals at genus one satisfy linear differential equations whose Picard iterations yield all-order alpha-prime expansions in iterated Eisenstein integrals, with cusp values given by disk integrals.

  2. Type II superstring amplitude at one-loop and transcendentality

    hep-th 2024-12 conditional novelty 7.0 of 10

    The one-loop four-graviton Type II superstring amplitude is extended to seventh order in the low-energy expansion, giving a new D14R4 term and a revised general form with single-valued multiple zeta values and zeta-lo...

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