6533b7d1fe1ef96bd125c36e

RESEARCH PRODUCT

Applications of intersection numbers in physics

Stefan Weinzierl

subject

High Energy Physics - TheoryHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)FOS: Physical sciences

description

In this review I discuss intersection numbers of twisted cocycles and their relation to physics. After defining what these intersection number are, I will first discuss a method for computing them. This is followed by three examples where intersection numbers appear in physics. These examples are: tree-level scattering amplitudes within the the CHY-formalism, reduction of Feynman integrals to master integrals and correlation functions on the lattice.

https://dx.doi.org/10.48550/arxiv.2011.02865