English

Banana integrals in configuration space

High Energy Physics - Theory 2023-08-04 v2

Abstract

We reconsider the computation of banana integrals at different loops, by working in the configuration space, in any dimension. We show how the 2-loop banana integral can be computed directly from the configuration space representation, without the need to resort to differential equations, and we include the analytic extension of the diagram in the space of complex masses. We also determine explicitly the ε\varepsilon expansion of the two loop banana integrals, for d=j2εd=j-2\varepsilon, j=2,3,4j=2,3,4.

Keywords

Cite

@article{arxiv.2304.00624,
  title  = {Banana integrals in configuration space},
  author = {Sergio Luigi Cacciatori and Henri Epstein and Ugo Moschella},
  journal= {arXiv preprint arXiv:2304.00624},
  year   = {2023}
}

Comments

29 pages, several formulas improved, removed a mistake

R2 v1 2026-06-28T09:45:31.233Z