Generation function for one-loop tensor reduction
Bo Feng
Abstract
Abstract For loop integrals, reduction is the standard method. Having an efficient way to find reduction coefficients is an important topic in scattering amplitudes. In this paper, we present the generation functions of reduction coefficients for general one-loop integrals with an arbitrary tensor rank in their numerator.
Topics & Concepts
Reduction (mathematics)Loop (graph theory)Tensor (intrinsic definition)Rank (graph theory)Function (biology)PhysicsAmplitudeDimensional reductionApplied mathematicsMathematical physicsMathematicsPure mathematicsQuantum mechanicsCombinatoricsGeometryEvolutionary biologyBiologyParticle physics theoretical and experimental studiesElectromagnetic Scattering and AnalysisBlack Holes and Theoretical Physics