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arXiv · hep-ph/9212285

Incorporation of QCD Effects in Basic Corrections of the Electroweak Theory

Sergio Fanchiotti·Bernd Kniehl·Alberto Sirlin
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Abstract

We study the incorporation of QCD effects in the basic electroweak corrections \drcar, \drcarw, and \dr. They include perturbative \Ord{αα_s} contributions and $t\bar{t}$ threshold effects. The latter are studied in the resonance and Green-function approaches, in the framework of dispersion relations that automatically satisfy relevant Ward identities. Refinements in the treatment of the electroweak corrections, in both the \ms\ and the on-shell schemes of renormalization, are introduced, including the decoupling of the top quark in certain amplitudes, its effect on $\hat{e}^2(\mz)$ and \sincarmz, the incorporation of recent results on the leading irreducible \Ord{α^2} corrections, and simple expressions for the residual, i.e.\ ``non-electromagnetic'', parts of \drcar, \drcarw, and \dr. The results are used to obtain accurate values for \mw\ and \sincarmz, as functions of \mt\ and \mh. The higher-order effects induce shifts in these parameters comparable to the expected experimental accuracy, and they increase the prediction for \mt\ derived from current measurements. The \ms\ and the on-shell calculations of \dr, in a recently proposed formulation, are compared and found to be in excellent agreement over the wide ranges $60\GeV \leq \mh \leq 1 \TeV$, $\mz \leq \mt \leq 250 \GeV$.

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Sergio Fanchiotti, Bernd Kniehl, Alberto Sirlin. 1992-12-18. Incorporation of QCD Effects in Basic Corrections of the Electroweak Theory. https://doi.org/10.1103/physrevd.48.307

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