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Decomposing Feynman rules

We exhibit in the simple example of the Dunce's cap Feynman graph the structure of parametric renormalization on the level of integrands, and exhibit also the decomposition $Φ^R=Φ_{\mathrm{fin}}^{-1}(Θ_0)\star Φ^R_{\mathrm{\makebox{1-s}}}(S/S_0)\starΦ_{\mathrm{fin}}(Θ)$ into angles and scales of renormalized Feynman rules.