Non factorizable $O(αα_s)$ corrections to the process $Z\to b\bar{b}$

Details Non factorizable $O(αα_s)$ corrections to the process $Z\to b\bar{b}$ Non factorizable $O(αα_s)$ corrections to the process $Z\to b\bar{b}$

1999-04-07

arxiv.org/abs/hep-ph/9904256v3

Phys.Lett. B459 (1999) 625-630

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 10 pages, 2 eps figures, misprint in f. (15) removed

Scientific paper

10.1016/S0370-2693(99)00716-9

We evaluate non factorizable $O(\alpha\alpha_s)$ corrections to the process $Z\to b\bar{b}$ due to the virtual t-quark. All two-loop vertex diagrams with $W$'s and charged ghosts $\Phi$'s are included. They are evaluated in the large top-mass expansion up to the $10^{th}$ order. Gluon Bremsstrahlung is taken into account by integrating over the whole phase space. All calculations, including Bremsstrahlung, are done in dimensional regularization. The expansion coefficients of the large mass expansion are given in closed form. Their expansion in $y=m_Z^2/4m_W^2$ is in agreement with the coefficients up to $O(m_W^6/m_t^6)$ as given by Harlander et al.

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