Speaker
Mao Zeng
(University of Edinburgh)
Description
We describe a new method for computing Feynman integrals based on solving inequality constraints. The starting point is the simple observation that a convergent Euclidean integral is non-negative if its integrand is non-negative. Combined with integration-by-parts reduction, this places powerful constraints on the values of master integrals, which can be solved efficiently using the numerical technique of semidefinite programming. We also find hidden consistency relations between terms at different orders in $\epsilon$ in dimensional regularization. We present examples with up to three loops.
Author
Mao Zeng
(University of Edinburgh)
