vs. pole masses of gauge bosons II: two-loop electroweak fermion corrections

2002/12/31 by F. Jegerlehner, M.Yu. Kalmykov, M. Yu. Kalmykov +2 · 136 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Electroweak interaction #Fermion #Gauge boson #Gauge theory #Loop (graph theory) #Massless particle #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Renormalization #Vector boson #hep-ph

paper · pdf · doi:10.1016/s0550-3213(03)00177-9

published in Nuclear Physics B 658(1-2), 49-112 (Elsevier BV) · 62 pages, LaTeX, 18 eps-figures, version to appear in Nucl.Phys.B

arxiv created 2003/02/25 · openalex publication_date 2003/04/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We have calculated the fermion contributions to the shift of the position of the poles of the massive gauge boson propagators at two-loop order in the Standard Model. Together with the bosonic contributions calculated previously the full two-loop corrections are available. This allows us to investigate the full correction in the relationship between MS and pole masses of the vector bosons Z and W. Two-loop renormalization and the corresponding renormalization group equations are discussed. Analytical results for the master-integrals appearing in the massless fermion contributions are given. A new approach of summing multiple binomial sums has been developed.

Citations

• A PCAC puzzle: π0→γγ in the σ-model
• Two-loop bosonic electroweak corrections to the muon lifetime and MZ–MW interdependence
• Algebraic-numerical evaluation of Feynman diagrams: two-loop self-energies
• On Nielsen's generalized polylogarithms and their numerical calculation
• Two-loop QCD corrections of the massive fermion propagator
• Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
• Connection between Feynman integrals having different values of the space-time dimension
• Anomalous Ward Identities in Spinor Field Theories
• Radiative corrections in theSU(2)L×U(1)theory: A simple renormalization framework
• Axial-Vector Vertex in Spinor Electrodynamics
• Review of particle properties
• Review of Particle Physics
• Harmonic Polylogarithms

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