A novel approach to integration by parts reduction

Understand

Integration by parts reduction is a standard component of most modern multi-loop calculations in quantum field theory.

• We present a novel strategy constructed to overcome the limitations of currently available reduction programs based on Laporta's algorithm.
• The key idea is to construct algebraic identities from numerical samples obtained from reductions over finite fields.
• We expect the method to be highly amenable to parallelization, show a low memory footprint during the reduction step, and allow for significantly better run-times.