Scheme dependence of the next-to-next-to-leading QCD corrections toΓtot(H0hadrons)and the spurious QCD infrared fixed point

Abstract
The analytical result of reevaluation of the massless three-loop next-to-next-to-leading-order QCD corrections to Γtot(H0hadrons) is presented. The analysis of the scheme-dependence property is considered. The value of the scheme-invariant quantity ρ2 is determined. It turns out to be negative and large. Therefore, the truncated effective β function has an infrared zero. It is argued that this "fixed point" is a spurious one. The problem of getting reliable information from the perturbative series with large coefficients is discussed.