Speaker
Description
It is well known that the number of master integrals for a family of Feynman integrals can be smaller than the dimension of the corresponding twisted cohomology group due to the presence of symmetries. This can lead to redundant computations of intersection numbers. We propose a basis choice such that only a subset of these intersection numbers needs to be computed.
We show that in a basis choice that transforms under the irreducible representations of the symmetry group the intersection pairing is invariant. This leads to a block structure of the intersection pairing which makes it possible to compute only a subset of intersection numbers. An analogous structure occurs in the period and homology pairing. We demonstrate this property at the different mass configurations of the three-loop banana integral.
