The K->2π amplitude with a weak scalar source in χPT

Calculation of graphs

Configuration:  "ChPTW3"

•Preliminaries

•The renormalized second order tree amplitude

•The fourth order tree amplitude (new contributions not included below)

•Generation of topologies and insertion of fields

•Calculation of the amplitude

•The fourth order tree amplitude (K->2π counterterm contributions)

•Generation of topologies and insertion of fields

•Calculation of the amplitude

•Adding things up (trees)

•Reduction of the mass and wave function renormalized tree amplitude

•Reduction of the new counterterm amplitude

•Reduction of the K->2π counterterm amplitude

•Final  renormalized lowest order + counterterm expression

•The fourth order loop amplitude

•Generation of topologies and insertion of fields

•Calculation of the amplitude

•Reduction of the amplitude

•Adding things up (loops)

•Reduction of the loop amplitude


Converted by Mathematica  (July 10, 2003)