Asymptotic structure of perturbative series for $τ$ lepton decay observables: $m_s^2$ corrections

Details Asymptotic structure of perturbative series for $τ$ lepton decay observables: $m_s^2$ corrections Asymptotic structure of perturbative series for $τ$ lepton decay observables: $m_s^2$ corrections

1999-11-11

arxiv.org/abs/hep-ph/9911311v1

Eur.Phys.J.C14:123-132,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages

Scientific paper

10.1007/s100520050739

In a previous paper we performed an analysis of asymptotic structure of perturbation theory series for semileptonic $\tau$-lepton decays in massless limit. We extend our analysis to the Cabibbo suppressed $\Delta S=1$ decay modes of the $\tau$ lepton. In particular we address the problem of $m_s^2$ corrections to theoretical formulas. The properties of the asymptotic behavior of the finite order perturbation theory series for the coefficient functions of the $m_s^2$ corrections are studied.

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