Two-loop renormalization in the Standard Model. I: Prolegomena. (English) Zbl 1200.81110

Summary: 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 (Zbl 1200.81111), the complete set of counterterms needed for the two-loop renormalization will be derived. In part III (Zbl 1200.81112), 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.


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