14–19 Apr 2024
Wittenberg
Europe/Berlin timezone

Polylogs from diagrams with elliptic obstructions

19 Apr 2024, 12:00
30m
Martin Luther

Martin Luther

Speaker

David Broadhurst (Open University, UK)

Description

Numerical evaluations of 2-loop kites and 3-loop tadpoles
with elliptic obstructions lead to remarkable empirical
evaluations in terms of polylogarithms, for which proofs
are very hard to find, notwithstanding intensive use of packages
such as HyperInt and MZIteratedIntegral. I shall describe the
efficient methods by which these puzzlingly simple evaluations
were obtained and current efforts to demystify them.

Primary author

David Broadhurst (Open University, UK)

Presentation materials