Asymptotic structure of perturbative series for τ lepton decay observables: m 2 s corrections
Abstract
In a previous paper we performed an analysis of asymptotic structure of perturbation theory series for semileptonic
τ
-lepton decays in massless limit. We extend our analysis to the Cabibbo suppressed
ΔS=1
decay modes of the
τ
lepton. In particular we address the problem of
m
2
s
corrections to theoretical formulas. The properties of the asymptotic behavior of the finite order perturbation theory series for the coefficient functions of the
m
2
s
corrections are studied.