Two-loop renormalization in the Standard Model. Part III: Renormalization equations and their solutions

2006/12/11 by Stefano Actis, S. Actis, Giampiero Passarino +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Context (archaeology) #Gauge (firearms) #Gauge boson #Gauge theory #Higgs boson #Mathematical physics #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Renormalization group #Standard Model (mathematical formulation) #Statistical physics #Theoretical physics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2007.04.027

published as Nucl.Phys.B777:100-156,2007 · 52 pages, LaTeX, 24 figures, uses axodraw.sty

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

Abstract

In part I and II of this series of papers all elements have been introduced to extend, to two loops, the set of renormalization procedures which are needed in describing the properties of a spontaneously broken gauge theory. In this paper, the final step is undertaken and finite renormalization is discussed. Two-loop renormalization equations are introduced and their solutions discussed within the context of the minimal standard model of fundamental interactions. These equations relate renormalized Lagrangian parameters (couplings and masses) to some input parameter set containing physical (pseudo-)observables. Complex poles for unstable gauge and Higgs bosons are used and a consistent setup is constructed for extending the predictivity of the theory from the Lep1 Z-boson scale (or the Lep2 WW scale) to regions of interest for LHC and ILC physics.

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