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Phi4tools

Guides

  • Phi4tools

Tech Notes

  • Feynman Diagram Evaluation
  • Perturbative Series Generation

Symbols

  • BubbleSubdiagram
  • CountLoops
  • DeriveAndWriteExplicit
  • DrawGraph
  • ExternalMomentum
  • InformationDiagram
  • IntegrandDiagram
  • Momentum
  • MomVars
  • NComponents
  • NickelIndex
  • Propagator
  • SquareSubdiagram
  • SunsetSubdiagram
  • SymmetryFactorDiagram
  • TadSunsetSubdiagram
  • TadTriangleBubblesSubdiagram
  • TriangleSubdiagram
  • ValueDiagram
  • VisualizeDiagram
  • WriteExplicit
  • XCubicRatio
GSberveglieri`Phi4tools`
DeriveAndWriteExplicit
​
DeriveAndWriteExplicit
[integrand]
derives
integrand
with respect to the external momentum squared
2
p
and writes the result at
p=0
in the form ready to be integrated in three dimensions.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
In[1]:=
Needs["GSberveglieri`Phi4tools`"]
In[2]:=
integ=
IntegrandDiagram
[2,0,5,10,"Substitutions""Analytics","ExternalMomentum"True]
Out[2]=
1
6
ℬ[[1]][[1]-[1]][[1]-[2]]
2
[[2]]
[[2]]
In[3]:=
DeriveAndWriteExplicit
[integ]
Out[3]=
-
ArcTan
[1]
ρ
2
-
4
3
1+
2
[1]
ρ

+
1
2
1+
2
[1]
ρ

-2+Log1+
2
[2]
ρ
9
+
6ArcTan
[2]
ρ
3

[2]
ρ
2304
3
π
[1]
ρ
2
1+
2
[2]
ρ

1+
2
[1]
ρ
-2Cos[
[2]
θ
]
[1]
ρ
[2]
ρ
+
2
[2]
ρ

SeeAlso
IntegrandDiagram
 
▪
WriteExplicit
RelatedGuides
▪
Phi4tools
""

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