Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay

Details Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay

1999-09-20

arxiv.org/abs/hep-ph/9909436v1

Phys.Lett. B467 (1999) 271-278

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 11 pages, 1 figure

Scientific paper

10.1016/S0370-2693(99)01168-5

In this article two-loop QED corrections to the muon decay and corrections of order $\alpha_s^2$ to the semileptonic decay of the bottom quark are considered. We compute the imaginary part of the four-loop diagrams contributing to the corresponding fermion propagator in the limit of small external momentum. The on-shell condition is obtained with the help of a conformal mapping and Pad\'e approximation. Via this method we confirm the existing results by an independent calculation.

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