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Erratum: Feynman rules for the rational part of the electroweak 1-loop amplitudes. (English) Zbl 1291.81449
Summary: [This erratum concerns the authors, ibid. 2010, No. 1, Paper No. 040, 33 p. (2010; Zbl 1269.81214)]We present the complete set of Feynman rules producing the rational terms of kind R$${}_{2}$$ needed to perform any 1-loop calculation in the Electroweak Standard Model. Our results are given both in the ’t Hooft-Veltman and in the Four Dimensional Helicity regularization schemes. We also verified, by using both the ’t Hooft-Feynman gauge and the Background Field Method, a huge set of Ward identities -up to 4-points-for the complete rational part of the Electroweak amplitudes. This provides a stringent check of our results and, as a by-product, an explicit test of the gauge invariance of the Four Dimensional Helicity regularization scheme in the complete Standard Model at 1-loop. The formulae presented in this paper provide the last missing piece for completely automatizing, in the framework of the OPP method, the 1-loop calculations in the SU(3) {$$\times$$} SU(2) {$$\times$$} U(1) Standard Model.

##### MSC:
 81V22 Unified quantum theories 81T15 Perturbative methods of renormalization applied to problems in quantum field theory 81T18 Feynman diagrams
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