Speaker
Description
The Landau bootstrap program attempts to completely determine a loop integral from its singular behavior. A finite number of possible singularities determine a finite alphabet and a finite set of symbol terms by which the integral can be expressed. Then increasingly subtle information about location and relations among singularities, such as their potential adjacency in the symbol, can be used to systematically whittle down the number of terms. Complementary to this top down approach is a bottom up semi-numerical approach where the integral and the symbol terms are evaluated numerically and then fit by analytic regression. This talk will review these two approaches and how they can be combined to determine some Feynman integrals in end-to-end automatable fashion.