Talk
Copositive geometry of Feynman integrals
- Máté László Telek (MPI MiS, Leipzig)
Abstract
Copositive matrices and copositive polynomials are objects from optimization. In this talk, we connect these to the geometry of Feynman integrals. The integral is guaranteed to converge if its kinematic parameters lie in the copositive cone. We present methods for characterizing the copositive cone associated with a Feynman integral. In particular, we show how a modified version of Pólya’s classical theorem can be used to make containment in the copositive cone manifest.
