Calculation of two-loop top-quark and Higgs-boson corrections in the electroweak Standard Model

Abstract

A combination of algebraical and numerical techniques for calculating two-loop top-quark and Higgs-boson corrections to electroweak precision observables like $\Delta r$ or the $\rho$-parameter is presented. The renormalization is performed within the on-shell scheme. The results of the calculations are valid for arbitrary values of $m_t$, $M_H$ and of the gauge-boson masses. An example is treated where the full result is compared to the result obtained via an expansion up to next-to-leading order in $m_t$. As an application, results for the Higgs-mass dependent top-contributions to $\Delta r$ are given.

9 pages, to appear in the Proceedings of AIHENP'96, Lausanne, Sept. 2-6, 1996. The paper is also available via www at http://www-itp.physik.uni-karlsruhe.de/prep/prep96/preplist96.html

References in corpus (6)

• Analytical and numerical methods for massive two-loop self-energy diagrams
• Radiative Correction Effects of a Very Heavy Top
• Reduction of general two-loop self-energies to standard scalar integrals
• Two-loop heavy top effects on the MZ-MW interdependence
• Simple one-dimensional integral representations for two-loop self-energies: the master diagram
• Two-loop next-to-leading $\mt$ corrections to the $\rho$ parameter

Cited by in corpus (10)

• Electroweak two-loop corrections to the MW-MZ mass correlation in the Standard Model
• Complete fermionic two-loop results for the M_W-M_Z interdependence
• Excesses in the low-mass Higgs-boson search and the W-boson mass measurement
• Precision Physics at LEP
• Higgs-mass dependence of two-loop corrections to Delta r
• Interdependence of the new "MUON G-2" Result and the $W$-Boson Mass
• Tripling down on the $W$ boson mass
• Reduction and evaluation of two-loop graphs with arbitrary masses
• New physics effects on the $W$-boson mass from a doublet extension of the SM Higgs sector
• Electroweak interactions: a theoretical overview