Decomposing Feynman rules

Abstract

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.

6p, 1 figure. Proceedings of the 11th DESY workshop "Loops and Legs in Quantum Field Theory", April 2012, Werningerode, Germany