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

S. Actis·A. Ferroglia·G. Passarino·M. Passera
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Abstract

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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S. Actis, A. Ferroglia, G. Passarino, M. Passera. 2006-12-11. Two-Loop Renormalization in the Standard Model Part I: Prolegomena. https://doi.org/10.1016/j.nuclphysb.2007.04.021

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