The $α_s^3$ Corrections to the Effective Neutral Current and to the Z Decay Rate in the Heavy Top Quark Limit

Details The $α_s^3$ Corrections to the Effective Neutral Current and to the Z Decay Rate in the Heavy Top Quark Limit The $α_s^3$ Corrections to the Effective Neutral Current and to the Z Decay Rate in the Heavy Top Quark Limit

1993-12-21

arxiv.org/abs/hep-ph/9312323v1

Phys.Lett. B327 (1994) 114-122

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LATEX, no figures, Preprint TTP93-38,INR-842/93 , December 1993

Scientific paper

10.1016/0370-2693(94)91538-5

We find the effective neutral current in the heavy top quark limit up to and including the terms of order $\alpha_s^3$. The result is then employed to compute the correction of the same order to the axial part of the Z decay rate into hadrons ($\G^h_Z$) induced by the top-bottom quark mass splitting. The calculations confirm the prediction made in a previous work of K.G.Ch. and J.H.K\"uhn (Phys. Lett. B 308 (1993) 127), namely, the effect of the singlet corrections of order $\alpha^3_s$ to the axial part of the $\G^h_Z$ should not exceed 25\% - 30\% (depending on the values chosen for $\alpha_s(M_Z)$ and $m_t$) of the magnitude of the leading (singlet) $\alpha_s^2$ term.

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