An infinite family of elliptic ladder integrals

Andrew Mcleod, Roger Morales, Matt Von Hippel, Matthias Wilhelm, Chi Zhang

Research output: Contribution to journalJournal articleResearchpeer-review

9 Downloads (Pure)

Abstract

We identify two families of ten-point Feynman diagrams that generalize the elliptic double box, and show that they can be expressed in terms of the same class of elliptic multiple polylogarithms to all loop orders. Interestingly, one of these families can also be written as a dlog form. For both families of diagrams, we provide new 2ℓ-fold integral representations that are linearly reducible in all but one variable and that make the above properties manifest. We illustrate the simplicity of this integral representation by directly integrating the three-loop representative of both families of diagrams. These families also satisfy a pair of second-order differential equations, making them ideal examples on which to develop bootstrap techniques involving elliptic symbol letters at high loop orders.

Original languageEnglish
Article number236
JournalJournal of High Energy Physics
Volume2023
Issue number5
Number of pages25
ISSN1126-6708
DOIs
Publication statusPublished - 30. May 2023
Externally publishedYes

Keywords

  • Differential and Algebraic Geometry
  • Scattering Amplitudes
  • Supersymmetric Gauge Theory

Fingerprint

Dive into the research topics of 'An infinite family of elliptic ladder integrals'. Together they form a unique fingerprint.

Cite this