2006/12/11 by Stefano Actis, S. Actis, A. Ferroglia +4 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Combinatorics #Gauge (firearms) #Gauge boson #Gauge theory #Higgs boson #Higgs sector #Loop (graph theory) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Renormalization #Renormalization group #Standard Model (mathematical formulation) #Theoretical physics #hep-ph
paper · pdf · doi:10.1016/j.nuclphysb.2007.04.021
published as Nucl.Phys.B777:1-34,2007 · 38 pages, LaTeX
arxiv created 2006/12/11 · openalex publication_date 2007/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.