Flavour Singlet ${\cal O}(α_s^2 m_b^2/m_t^2)$ Corrections to the Partial Decay Rate $Γ(Z\rightarrow b\bar{b})$

Details Flavour Singlet ${\cal O}(α_s^2 m_b^2/m_t^2)$ Corrections to the Partial Decay Rate $Γ(Z\rightarrow b\bar{b})$ Flavour Singlet ${\cal O}(α_s^2 m_b^2/m_t^2)$ Corrections to the Partial Decay Rate $Γ(Z\rightarrow b\bar{b})$

1993-10-05

arxiv.org/abs/hep-ph/9310229v1

Phys.Lett. B319 (1993) 307-312

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 2 figures (eps-files will be ftp'ed on request)

Scientific paper

10.1016/0370-2693(93)90818-3

We analytically compute the flavour singlet ${\cal O}(\alpha_s^2 m_b^2/m_t^2)$ radiative corrections to the partial decay rate $\Gamma(Z\rightarrow b\bar{b})$. These corrections arise from anomalous ``double traingle'' diagrams containing a single $\gamma_5$ matrix inside each of two closed fermion loops. They represent the next-to-leading term of the asymptotic expansion in the inverse large top mass. As a byproduct of the calculcation we confirm the results of B.Kniehl and J.H.K\"uhn for the flavour singlet massless corrections \cite{KniKue90} as well as our previous ${\cal O}(\alpha_s^2 m_b^2/M_Z^2)$ result \cite{CheKwi93}.

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