Speaker
David Broadhurst
(Open University, UK)
Description
The generic 3-loop tetrahedral tadpole, with 6 distinct masses, has elliptic subtructure originating from 12 distinct elliptic curves. I shall show how to evaluate it, at high precision and great speed, by integrating dilogarithms against complete integrals of the third kind, for which there is a proceudre of the arithmetic-geometric mean that is astoundingly fast. The elements of this method go back more 60 years, to Gunnar Kallen and Afaf Sabry. I learnt about them more than 50 years from Gabriel Barton. They deserve to better known.
