Summing $O(β_0^n α_s^{n+1})$ Corrections to Top Quark Decays

Details Summing $O(β_0^n α_s^{n+1})$ Corrections to Top Quark Decays Summing $O(β_0^n α_s^{n+1})$ Corrections to Top Quark Decays

1997-07-21

arxiv.org/abs/hep-ph/9707403v1

Phys.Lett. B417 (1998) 353-360

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, Latex, 5 figures. Uses revtex and epsf macros

Scientific paper

10.1016/S0370-2693(97)01348-8

Order $\beta_0^n \alpha_s^{n+1}$ QCD corrections to top quark decays into $W^+$ and $H^+$ bosons are computed to all orders in perturbation theory. Predictions for the radiative corrections to the top quark width are compared with the estimates from BLM scale setting procedures. The results of the summation are shown to greatly improve understanding of higher order corrections in the limit $m_W,~m_H \to m_t$, where the BLM scale setting method is known to fail. Attempts to reduce nonperturbative error by substituting the running mass for the pole mass in the expression for the decay are shown to fail in the limit $m_W,~m_H \to m_t$ because of subtleties in the treatment of phase space.

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