Speaker
Giulio Crisanti
Description
The intersection number is an inner product that can be defined on the vector space of Feynman Integrals, allowing one to perform integral reductions without using IBPs. In this talk I will review the main ideas behind intersection theory, and present some new computational and advancements in the field. Specifically, I will showcase a prescription for choosing orthogonal bases of differential n-forms belonging to quadratic twisted period integrals, as well as a new closed formula to evaluate intersection numbers beyond dlog forms. These findings allow us to systematically construct orthonormal bases between twisted periods for all one-loop Feynman integrals.
