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arxiv: hep-ph/0011373 · v2 · submitted 2000-11-29 · ✦ hep-ph

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Three-Loop Leading Top Mass Contributions to the rho Parameter

J.J. van der Bij , K.G. Chetyrkin , M. Faisst , G. Jikia , T. Seidensticker
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classification ✦ hep-ph
keywords correctionleadingcontributionsorderparameteralphaanalyticalboson
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We present analytical results for the leading contributions of the top quark to the electroweak rho parameter at order GF^3 Mt^6 and GF^2 Mt^4 alpha_s. The Higgs boson and the gauge bosons are taken to be massless in this limit. The correction of order GF^3 Mt^6 is found to be sizeable in comparison to the the leading two-loop GF^2 Mt^4 correction, however it is much smaller than the subleading GF^2 Mt^2 MZ^2 correction.

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    Three-loop QCD corrections to electroweak radiative parameters Δρ, Δr, and Δκ are computed, yielding an updated W boson mass prediction relevant for FCC precision targets.