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- W3103457839 abstract "The instanton--anti-instanton pair induced asymptotics of perturbation theory expansion for the cross section of electron--positron pair annihilation to hadrons and hadronic width of $tau$-lepton was found. For $N_f = N_c$ the nonperturbative instanton contribution is finite and may be calculated without phenomenological input. The instanton induced peturbative asymptotics was shown to be enhanced as $(n+10)!$ and in the intermediate region $n<15$ may exceed the renormalon contribution. Unfortunately, the analysis of $sim 1/n$ corrections shows that for $n sim 10$ the obtained asymptotic expressions are at best only the order of magnitude estimate. The asymptotic series for $R_{e^+ e^- rightarrow hadrons}$ , though obtained formally for $N_f =N_c$, is valid up to energies $sim 15$Gev. The instanton--anti-instanton pair nonperturbative contribution to $R_{tau rightarrow hadrons}$ blows up. On the one hand, this means that instantons could not be considered {it ab--initio} at such energies. On the other hand, this result casts a strong doubt upon the possibility to determine the $alpha_s$ from the $tau$--lepton width." @default.
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- W3103457839 date "1996-03-01" @default.
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- W3103457839 title "Instanton-anti-instanton pair induced contributions to Re+e−→hadrons and Rτ→hadrons" @default.
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- W3103457839 doi "https://doi.org/10.1016/0550-3213(96)00003-x" @default.
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