Scale Setting in Top Quark Decays

Details Scale Setting in Top Quark Decays Scale Setting in Top Quark Decays

1996-02-27

arxiv.org/abs/hep-ph/9602410v2

Phys.Lett. B382 (1996) 267-272

Physics

High Energy Physics

High Energy Physics - Phenomenology

Uses REVTEX, 9 pages, 4 EPS figures embedded with epsf.sty Some references and 1 figure added, conclusions slightly modified,

Scientific paper

10.1016/0370-2693(96)00681-8

We compute the $O(\beta_0 \alpha_s^2)$ QCD corrections to the Standard Model decay $t\rightarrow W^+ b$ as well as the non standard decay $t\rightarrow H^+ b$. We then use our results to compute the BLM scale for these decays, and study the dependence of the BLM scale on the mass of the boson in the decay. We find that the BLM procedure gives extremely small scales when top decays into heavy bosons. When we try to improve the BLM scale by reexpressing rates as a functions of the top quark running mass, we find the BLM scale exhibits unnatural dependence on the boson mass, casting doubts on the applicability of the BLM procedure to these processes.

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