Journal
NUCLEAR PHYSICS B
Volume 777, Issue 1-2, Pages 1-34Publisher
ELSEVIER
DOI: 10.1016/j.nuclphysb.2007.04.021
Keywords
Feynman diagrams; multi-loop calculations; self-energy diagrams; Vertex diagrams
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In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector and by two alternative treatments of the Higgs tadpoles. Dyson resummed propagators for the gauge bosons are derived, and two-loop Ward-Slavnov-Taylor identities are discussed. In part II, the complete set of counterterms needed for the two-loop renormalization will be derived. In part III. a renormalization scheme will be introduced, connecting the renormalized quantities to an input parameter set of (pseudo-)experimental data, critically discussing renormalization of a gauge theory with unstable particles. (C) 2007 Published by Elsevier B.V.
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