Speaker
David Broadhurst
Description
The generic 2-loop kite integral has 5 internal masses. Its
completion by a sixth propagator gives a 3-loop tadpole
whose substructure involves 12 elliptic curves. I shall show
how to compute all such kites and their tadpoles, with 200
digit precision achieved in seconds, thanks to the procedure
of the arithmetic-geometric mean for complete elliptic
integrals of the third kind. The number theory of 3-loop
tadpoles poses challenges for packages such as HyperInt.
