Intersection numbers & polynomial expansions

by Gaia Fontana (Physik-Institut, Universität Zürich)

A.1.01/03 - Alps (New)

A.1.01/03 - Alps



I will present recent developments in the intersection-theory approach for the reduction to master integrals. In particular, I will focus on the novel method of p(z)-adic expansion which avoids the explicit appearance of non-rational poles in intermediate steps of the calculation. I will describe the implementation of a purely rational algorithm for computing intersection numbers over finite-fields using the framework FiniteFlow. Based on arXiv:2304.14336