Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-10-16
JHEP 1001:040,2010; Erratum-ibid.1010:097,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
Many thanks to Huasheng Shao for having recomputed, independently of us, all of the ${\rm R_2}$ effective vertices. Thanks to
Scientific paper
10.1007/JHEP01(2010)040 10.1007/
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) X SU(2) X U(1) Standard Model.
Garzelli Maria Vittoria
Malamos I.
Pittau Roberto
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