Two-loop next-to-leading $\mt$ corrections to the $\rho$ parameter

Abstract

The $O(G_{\mu }^2{m}_t^4)$ correction to the $\rho$ parameter is computed within the Standard Model using the current algebra formulation of radiative corrections. This approach is proved to be equivalent to the effective Lagrangian method proposed by Barbieri {\em et al.} Using the same framework, the $O(G_{\mu }^2{m}_t^2{m}_z^2)$ correction to the ratio of neutral-to-charged current amplitudes is analysed in an $SU(2)$ model. The $O(G_{\mu }^2{m}_t^2{m}_z^2)$ contribution is shown to be numerically comparable to the leading $O(G_{\mu }^2{m}_t^4)$ term for realistic values of the top mass. The resummation of higher-order effects is discussed.

CERN-TH.7180/94, DFPD 94/TH/12 and NYU-Th-94/02/01, 26 pages (LaTeX + PS figures, needs psfig (optional to include figures), doublespace, equations, and cite styles)

Cited by in corpus (18)

• Pinch Technique: Theory and Applications
• Precise calculation of MW, sin^2 theta_MSbar, and sin^2 theta_eff
• Two-loop heavy top effects on the MZ-MW interdependence
• On the Precise Determination of the Fermi Coupling Constant from the Muon Lifetime
• Electroweak corrections to hadronic production of W bosons at large transverse momenta
• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• A magic connection between massive and massless diagrams
• One-loop weak corrections to hadronic production of Z bosons at large transverse momenta
• Two-loop heavy top corrections to the Z boson partial widths
• Two-loop renormalization of the electric charge in the Standard Model
• Two-Loop Large-$m_t$ Electroweak Corrections to $K\to \pi \nu \bar{\nu }$ for Arbitrary Higgs Boson Mass
• Simple Formulae for Sin^2 theta_eff^lept, M_W, Gamma_l, and their Physical Applications
• Electroweak effects in the $B^0-{\bar{B}}^0$ mixing
• Theoretical Aspects of Standard-Model Higgs-Boson Physics at a Future e^+ e^- Linear Collider
• Tensor reduction of two-loop vacuum diagrams and projectors for expanding three-point functions
• Calculation of two-loop top-quark and Higgs-boson corrections in the electroweak Standard Model
• Two-loop electroweak corrections to the $\rho$ parameter beyond the leading approximation
• Complete O(N_f alpha^2) Weak Contributions to the Muon Lifetime