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

Actis, Stefano; Ferroglia, Andrea; Passera, Massimo; Passarino, Giampiero

Nucl. Phys., B 777, No. 1-2, 1-34 (2007).

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.

MSC:

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

Keywords:

Feynman diagrams; multi-loop calculations; self-energy diagrams; vertex diagrams

Citations:

Zbl 1200.81111; Zbl 1200.81112

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