Two-Loop Renormalization in the Standard Model Part I: Prolegomena

Details Two-Loop Renormalization in the Standard Model Part I: Prolegomena Two-Loop Renormalization in the Standard Model Part I: Prolegomena

2006-12-11

arxiv.org/abs/hep-ph/0612122v1

Nucl.Phys.B777:1-34,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

38 pages, LaTeX

Scientific paper

10.1016/j.nuclphysb.2007.04.021

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.

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