Second Order QCD Corrections to $Γ(t \to Wb)$

Details Second Order QCD Corrections to $Γ(t \to Wb)$ Second Order QCD Corrections to $Γ(t \to Wb)$

1999-06-07

arxiv.org/abs/hep-ph/9906273v2

Phys.Rev. D60 (1999) 114015

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 21 pages, 1 figure included as ps-file. Minor changes; reference added. Version to be published in PRD. The complete pa

Scientific paper

10.1103/PhysRevD.60.114015

Corrections of $O(\alpha_s^2)$ to the decay of the top quark into a W boson and a bottom quark are calculated. The method is based on an expansion of the top quark propagator for small external momentum, q, as compared to the top quark mass, M_t. The physical point q^2 = M_t^2 is reached through Pad\'e approximations. The described method allows to take effects induced by a finite W boson mass into account. The numerical relevance of the result is discussed. Important cross-checks against recent results for the decay rate $b \to u l \bar\nu$ and the two-loop QED corrections to $\mu$-decay are performed.

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