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

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

1994-03-09

arxiv.org/abs/hep-ph/9403250v1

Int.J.Mod.Phys. A10 (1995) 1377-1392

Physics

High Energy Physics

High Energy Physics - Phenomenology

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), d

Scientific paper

The $O(G^2_\mu m_t^4)$ 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 $O(G^2_\mu m_t^2 m_z^2)$ correction to the ratio of neutral-to-charged current amplitudes is analysed in an $SU(2)$ model. The $O(G^2_\mu m_t^2 m_z^2)$ contribution is shown to be numerically comparable to the leading $O(G^2_\mu m_t^4)$ term for realistic values of the top mass. The resummation of higher-order effects is discussed.

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