6533b85ffe1ef96bd12c1245
RESEARCH PRODUCT
Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
Janko BoehmHans SchoenemannYang ZhangKasper J. LarsenAlessandro Georgoudissubject
High Energy Physics - TheoryNuclear and High Energy PhysicsFeynman integralFOS: Physical sciencesAlgebraic geometryTopologyDifferential and Algebraic Geometry; Scattering Amplitudes; Perturbative QCD01 natural sciencesSubatomär fysikReduction (complexity)Mathematics - Algebraic GeometryPlanarHigh Energy Physics - Phenomenology (hep-ph)Subatomic Physics0103 physical sciencesPerturbative QCDFOS: MathematicsIntegration by partsDifferential and Algebraic Geometrylcsh:Nuclear and particle physics. Atomic energy. Radioactivity010306 general physicsScattering AmplitudesAlgebraic Geometry (math.AG)PhysicsBasis (linear algebra)Unitarity010308 nuclear & particles physicsPower (physics)High Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)lcsh:QC770-798description
We present the powerful module-intersection integration-by-parts (IBP) method, suitable for multi-loop and multi-scale Feynman integral reduction. Utilizing modern computational algebraic geometry techniques, this new method successfully trims traditional IBP systems dramatically to much simpler integral-relation systems on unitarity cuts. We demonstrate the power of this method by explicitly carrying out the complete analytic reduction of two-loop five-point non-planar hexagon-box integrals, with degree-four numerators, to a basis of 73 master integrals.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-09-01 | Journal of High Energy Physics |