Integration-by-parts identities in FDR

Understand

Four-dimensional renormalized (FDR) integrals play an increasingly important role in perturbative loop calculations.

• Thanks to them, loop computations can be performed directly in four dimensions and with no ultraviolet (UV) counterterms.
• In this paper I prove that integration-by-parts (IBP) identities can be used to find relations among multi-loop FDR integrals.
• Since algorithms based on IBP are widely applied beyond one loop, this result represents a decisive step forward towards the use of FDR in multi-loop calculations.