Pion-pion scattering in SU(2) χPT with virtual photons

Calculation of graphs

Configuration:  "ChPTVirtualPhotons2"
Lagrangians:  ChPTVirtualPhotons2[2], ChPTVirtualPhotons2[4]

Isospin indices. Run the whole notebook for each set of values.

d1 = 1 ; d2 = 2 ; d3 = 2 ; d4 = 1 ; (* ok *) <br /> (* d1 = 1 ; d2 = 2 ; d3 = 1 ; d4 = 2 ; *) (* ok *) <br /> (* d1 = 1 ; d2 = 1 ; d3 = 1 ; d4 = 1 ; *) (* ok *) <br /> (* d1 = 1 ; d2 = 1 ; d3 = 2 ; d4 = 2 ; *) (* ok *) <br /> (* d1 = 2 ; d2 = 2 ; d3 = 1 ; d4 = 1 ; *) (* ok *) <br /> (* d1 = 2 ; d2 = 2 ; d3 = 2 ; d4 = 2 ; *) (* ok *) <br /> (* d1 = 2 ; d2 = 1 ; d3 = 2 ; d4 = 1 ; *) (* ok *) <br /> (* d1 = 2 ; d2 = 1 ; d3 = 1 ; d4 = 2 ; *) (* ok *)

•Preliminaries

•The mass and decay constant renormalized second order tree amplitude

•Generation of topologies and insertion of fields

•Calculation of the amplitude

•The fourth order loop amplitude

•Generation of topologies and insertion of fields

•Calculation and reduction of the amplitude

•The fourth order tree amplitude

•Generation of topologies and insertion of fields

•Calculation and reduction of the amplitude

•The full amplitude

•Renormalization

•Reduction

Converted by Mathematica  (July 10, 2003)