${\cal O}(α\as \ln m_t^2)$ Non-Universal Corrections to the Decay Rate $Γ(Z\rightarrow b\bar{b})$

Details ${\cal O}(α\as \ln m_t^2)$ Non-Universal Corrections to the Decay Rate $Γ(Z\rightarrow b\bar{b})$ ${\cal O}(α\as \ln m_t^2)$ Non-Universal Corrections to the Decay Rate $Γ(Z\rightarrow b\bar{b})$

1994-09-14

arxiv.org/abs/hep-ph/9409314v1

Phys.Lett.B344:359-364,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, Latex [ uses epsfig.sty, 3 figures not included ] A complete postscript file, including figures, is available via an

Scientific paper

10.1016/0370-2693(94)01568-W

The partial decay rate $\Gamma(Z\to b\bar{b})$ is significantly influenced by the mass of the top quark due to electroweak radiative corrections. The leading $\sim m_t^2$ and the next-to-leading contribution $\sim \ln m_t^2$ are known to be numerically of similar size. In this work we calculate the QCD corrections to the logarithmic correction using the heavy top mass expansion. The ${\cal O} (\alpha\as \ln m_t^2)$ corrections are of the same order as the QCD corrections to the quadratic top mass term, but of different sign.

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