•Generation of topologies and insertion of fields

Construction of topologies:

mesonstop = TopologyList @@ Union[Flatten[{#, List @@ AddExternalLegs[#, ExternalPropagators -> 1], List @@ AddExternalLegs[#, ExternalPropagators -> 2]} &[CreateCTTopologies[1, 2 -> 1, Adjacencies -> {3, 4}, ExcludeTopologies -> {TadpoleCTs, SelfEnergyCTs, WFCorrectionCTs}]]]] ;

Paint[mesonstop, AutoEdit -> False, SheetHeader -> False, Numbering -> True, ColumnsXRows -> {4, 2}] ;

[Graphics:../HTMLFiles/index_74.gif]

Field insertion:

$VerticesSpecifications = {{VertexFields -> {AxialVector[0][0], PhiMeson[0]}, PhiModel -> ChPT3, PerturbationOrder -> {2}, CouplingSign -> 1, XFileName -> Automatic}, {VertexFields -> {PseudoScalar[0][0], PhiMeson[0]}, PhiModel -> ChPT3, PerturbationOrder -> {2}, CouplingSign -> 1, XFileName -> Automatic}, {VertexFields -> {AxialVector[0][0], PhiMeson[0], Scalar[1][0]}, PhiModel -> ChPTW3, PerturbationOrder -> {2, 4}, CouplingSign -> 1, XFileName -> Automatic}, {VertexFields -> {PseudoScalar[0][0], PhiMeson[0], Scalar[1][0]}, PhiModel -> ChPTW3, PerturbationOrder -> {2, 4}, CouplingSign -> 1, XFileName -> Automatic}, {VertexFields -> {PhiMeson[0], PhiMeson[0], Scalar[1][0]}, PhiModel -> ChPTW3, PerturbationOrder -> {2, 4}, CouplingSign -> 1, XFileName -> Automatic}} ;

InitializeModel["Automatic", GenericModel -> "Automatic", Reinitialize -> True] ;

mesontreeinsert = InsertFields[mesonstop, {PseudoScalar[0][0, {i1}], Scalar[1][0]} -> {PseudoScalar[0][0, {i3}]}, Model -> "Automatic", GenericModel -> "Automatic", InsertionLevel -> Classes] ;

Graphical representation of the process:

FeynArts`Graphics`VertexGraphics[e_, 1][n_] := {FeynArts`Graphics`CrossMark[Vertex[e, 1][n]], Array[rect[Vertex[e, 1][n], 0.15 * FeynArts`Graphics`CrossDiameter * #] &, 3]}

Paint[mesontreeinsert /. boxrules3, PaintLevel -> {Classes}, AutoEdit -> False, SheetHeader -> False, Numbering -> False, ColumnsXRows -> {2, 2}] ;

[Graphics:../HTMLFiles/index_80.gif]

Converted by Mathematica  (July 10, 2003)