6533b836fe1ef96bd12a155d

RESEARCH PRODUCT

The sunset diagram in SU(3) chiral perturbation theory

J. B. TauskP. Post

subject

PhysicsNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryDiagramFOS: Physical sciencesGeneral Physics and AstronomyPropagatorAstronomy and AstrophysicsNumerical integrationLoop (topology)symbols.namesakeHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)IntegersymbolsOrder (group theory)Feynman diagramMathematical physics

description

A general procedure for the calculation of a class of two-loop Feynman diagrams is described. These are two-point functions containing three massive propagators, raised to integer powers, in the denominator, and arbitrary polynomials of the loop momenta in the numerator. The ultraviolet divergent parts are calculated analytically, while the remaining finite parts are obtained by a one-dimensional numerical integration, both below and above the threshold. Integrals of this type occur, for example, in chiral perturbation theory at order p^6.

10.1142/s0217732396002101http://arxiv.org/abs/hep-ph/9604270