QED logarithms in the electroweak corrections to the muon anomalous magnetic moment

1998/03/18 by G. Degrassi, G. F. Giudice, Gian F. Giudice · 10 citations
Computer Science · Mathematics · Physics and Astronomy · #Anomalous magnetic dipole moment #Computational Physics and Python Applications #Cosmology and Gravitation Theories #Dipole #Electric dipole moment #Electron #Electron magnetic dipole moment #Electroweak interaction #Electroweak scale #Gauge (firearms) #Logarithm #Magnetic dipole #Mathematics #Moment (physics) #Muon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Standard Model (mathematical formulation) #hep-ph

paper · pdf · doi:10.1103/physrevd.58.053007

published as Phys.Rev.D58:053007,1998 · 13 pages

arxiv created 1998/03/18 · openalex publication_date 1998/08/05 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We employ an effective Lagrangian approach to derive the leading-logarithm two-loop electroweak contributions to the muon anomalous magnetic moment, a_\ensuremathμ. We show that these corrections can be obtained using known results on the anomalous dimensions of composite operators. We confirm the result of Czarnecki et al. for the bosonic part and present the complete sin²\ensuremathθ_W dependence of the fermionic contribution. The approach is then used to compute the leading-logarithm three-loop electroweak contribution to a_\ensuremathμ. Finally we derive, in a fairly model-independent way, the QED improvement of new-physics contributions to a_\ensuremathμ and to the electric dipole moment (EDM) of the electron. We find that the QED corrections reduce the effect of new physics at the electroweak scale by 6% (for a_\ensuremathμ) and by 11% (for the electron EDM).

Citations

• Constraints on supersymmetric models from the muon anomalous magnetic moment

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