6533b870fe1ef96bd12d0732

RESEARCH PRODUCT

One-loop integrals with XLOOPS-GiNaC

C. BauerH. S. Do

subject

AlgebraPhysicsHigh Energy Physics - PhenomenologyParticle physicsHigh Energy Physics - Phenomenology (hep-ph)Hardware and ArchitectureFeynman integralTensor rankComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONGeneral Physics and AstronomyPropagatorFOS: Physical sciences

description

We present a new algorithm for the reduction of one-loop tensor Feynman integrals within the framework of the XLOOPS project, covering both mathematical and programming aspects. The new algorithm supplies a clean way to reduce the one-loop one-, two- and three-point Feynman integrals with arbitrary tensor rank and powers of the propagators to a basis of simple integrals. We also present a new method of coding XLOOPS in C++ using the GiNaC library.

https://dx.doi.org/10.48550/arxiv.hep-ph/0102231