Top Quark Contribution to Hadronic Decays of the Z-Boson at Alpha_s^2 in QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, REVTeX 3.0 with 4 postscript figures compressed with uufiles, University of Oregon preprint OITS 545

Scientific paper

10.1103/PhysRevLett.73.2958

We evaluate the effect of a virtual top quark on the coefficient of $\alpha_{s}^{2}$ in the decay rates $\Gamma(Z \rightarrow {\rm hadrons})$ and $\Gamma(Z \rightarrow b\overline{b} )$. We treat the dependence on the top quark mass exactly instead of using a large mass expansion. The present work completes the evaluation of the $\alpha_{s}^{2}$ contributions to these quantities. The calculation uses both the $\overline{\rm MS}$ and Collins-Wilczek-Zee renormalization prescriptions. The results can be applied to the hadronic decays of the $\tau$-lepton.

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