Calculation of fermionic two-loop contributions to muon decay

Abstract

The computation of the correction Δr in the W-Z mass correlation, derived from muon decay, is described at the two-loop level in the Standard Model. Technical aspects which become relevant at this level are studied, e.g. gauge-parameter independent mass renormalization, ghost-sector renormalization and the treatment of γ_5. Exact results for Δr and the W mass prediction including O(α^2) corrections with fermion loops are presented and compared with previous results of a next-to-leading order expansion in the top-quark mass.

arXiv comment10 pages LaTeX including 4 figures, Talk given by A. F. at the 5th Zeuthen Workshop on Elementary Particle Theory "Loops and Legs in Quantum Field Theory", Bastei/Koenigstein, Germany, April 9--14, 2000; references updated

References in corpus (15)

• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• Analytical and numerical methods for massive two-loop self-energy diagrams
• Complete 2-loop Quantum Electrodynamic Contributions to the Muon Lifetime in the Fermi Model
• Radiative Correction Effects of a Very Heavy Top
• Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter
• Precise calculation of MW, sin^2 theta_MSbar, and sin^2 theta_eff
• Leptonic contribution to the effective electromagnetic coupling constant up to three loops
• Reduction of general two-loop self-energies to standard scalar integrals
• QCD Corrections from Top Quark to Relations between Electroweak Parameters to Order ${\alpha }_s^2$
• Two-loop heavy top effects on the MZ-MW interdependence
• Simple one-dimensional integral representations for two-loop self-energies: the master diagram
• Hadronic Contributions to the Muon Lifetime
• Calculation of two-loop self-energies in the electroweak Standard Model
• Higgs-mass dependence of two-loop corrections to Delta r
• Considerations Concerning the QCD Corrections to $\Delta \rho$

Cited by in corpus (13)

• Precise Prediction for the W-Boson Mass in the Standard Model
• Electroweak Precision Observables in the Minimal Supersymmetric Standard Model
• ZFITTER: a semi-analytical program for fermion pair production in e+e- annihilation, from version 6.21 to version 6.42
• Electroweak two-loop corrections to the MW-MZ mass correlation in the Standard Model
• MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections
• Two-Loop Bosonic Electroweak Corrections to the Muon Lifetime and M_Z-M_W Interdependence
• An Approach Toward the Numerical Evaluation of Multi-Loop Feynman Diagrams
• Leading Electroweak Two-Loop Corrections to Precision Observables in the MSSM
• Two-Loop Renormalization in the Standard Model Part I: Prolegomena
• BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting ${\gamma }_5$
• Scale-Independent Calculation of ${\sin }^2{\theta }_{eff}^{lept}$
• Modified perturbation theory approach for tt-bar production and decay
• Two-Loop Electroweak Corrections to $\Delta r$