English

Integral of two-loop modular graph functions

High Energy Physics - Theory 2019-06-13 v2 Number Theory

Abstract

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

Keywords

Cite

@article{arxiv.1905.06217,
  title  = {Integral of two-loop modular graph functions},
  author = {Eric D'Hoker},
  journal= {arXiv preprint arXiv:1905.06217},
  year   = {2019}
}

Comments

19 pages, minor clarifications in revised version

R2 v1 2026-06-23T09:07:29.259Z