Finite field methods in Feynman integral reduction program Kira

• Johann Usovitsch

My focus of the talk will be the introduction to the integral reduction program Kira. The new addition to the palate of tools in Kira is the application of the finite field methods to reconstruct the coefficients in Feynman integral reductions to the master integrals. I will go through examples and help to understand how to use Kira to optimize all reduction steps. Also I will discuss different approaches to finish a reduction by using pure analytic, finite field or hybrid methods. At the end I would like to advertise the paper arXiv:1912.09294v3 and discuss how the future of Feynman integrals reduction may look like.