Non-planar massless two-loop Feynman diagrams with four on-shell legs

TL;DR

This paper analytically computes non-planar massless two-loop Feynman diagrams with four on-shell legs, including the crossed double box, advancing the understanding of complex quantum field theory integrals.

Contribution

It provides the first analytical calculation of the non-planar crossed double box diagram with seven propagators in dimensional regularization.

Findings

Analytical expressions for the crossed double box diagram obtained.

Discussion of the non-planar diagram with six propagators included.

Enhances computational techniques for multi-loop Feynman integrals.

Abstract

The non-planar Feynman diagram with seven massless, scalar propagators and four on-shell legs (the crossed double box) is calculated analytically in dimensional regularization. The non-planar diagram with six propagators is also discussed.