6533b86dfe1ef96bd12ca929

RESEARCH PRODUCT

A novel approach to integration by parts reduction

Andreas Von ManteuffelRobert M. Schabinger

subject

FOS: Computer and information sciencesComputer Science - Symbolic ComputationHigh Energy Physics - TheoryPhysicsNuclear and High Energy Physics010308 nuclear & particles physicsFOS: Physical sciencesConstruct (python library)Symbolic Computation (cs.SC)01 natural scienceslcsh:QC1-999Computational scienceReduction (complexity)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Finite fieldHigh Energy Physics - Theory (hep-th)Component (UML)0103 physical sciencesKey (cryptography)Memory footprintIntegration by partsAlgebraic number010306 general physicslcsh:Physics

description

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.

yearjournalcountryeditionlanguage
2015-05-01Physics Letters B
https://doi.org/10.1016/j.physletb.2015.03.029