Tensor structure from scalar Feynman matroids

TL;DR

This paper introduces a novel interpretation of scalar Feynman integrals, arising from tensor integral reductions, as scalar integrals associated with specific matroids, providing a new combinatorial perspective.

Contribution

It establishes a connection between scalar Feynman integrals and matroid theory, offering a new framework for understanding tensor integral reductions.

Findings

Scalar Feynman integrals can be interpreted via matroids.

The approach links combinatorics with quantum field theory.

Provides a new perspective for analyzing tensor integrals.

Abstract

We show how to interpret the scalar Feynman integrals which appear when reducing tensor integrals as scalar Feynman integrals coming from certain nice matroids.