Speaker
Description
We present a novel, simplified formulation of the recursive algorithm for
evaluating intersection numbers of differential forms. This approach is
applied to derive the complete decomposition of two-loop planar and non-planar
Feynman integrals in terms of a master integral basis.
The new algorithm extensively utilizes various emerging tensor structures
derived from the polynomial division technique and local solutions to system of
differential equations, facilitating efficient computer implementation.
Additionally, we employ delta-forms as generators of relative twisted
cohomology groups, which allows us to bypass the usage of analytic regulators.
More generally, this algorithm can be applied to derive relations among twisted
period integrals relevant for physics and mathematical studies.
