Normalization of QCD corrections in top quark decay

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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7 pages (LaTeX), TPI-MINN-94/16-T, UMN-TH-1252/94

Scientific paper

10.1016/0370-2693(94)01270-9

We discuss the effects of QCD corrections to the on-shell decay $t \to b W$. We resolve the scale ambiguity using the Brodsky-Lepage-Mackenzie scheme, and find that the appropriate coupling constant is $\alpha_{s}^{ \overline{MS}} (0.122m_{t})$. The largest long distance contribution comes from the definition of the on-shell mass of the top quark. We note that QCD corrections to the electroweak $\rho$ parameter are extremely small when the $\rho$ parameter is expressed in terms of the top quark width.

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