The diamond rule for multi-loop Feynman diagrams

Understand

An important aspect of improving perturbative predictions in high energy physics is efficiently reducing dimensionally regularised Feynman integrals through integration by parts (IBP) relations.

• The well-known triangle rule has been used to achieve simple reduction schemes.
• In this work we introduce an extensible, multi-loop version of the triangle rule, which we refer to as the diamond rule.
• Such a structure appears frequently in higher-loop calculations.