Abstract
We compute a compact operator product expansion (OPE) formula describing power corrections to the perturbative expression for the asymmetric momentum subtraction--$(\mathrm{MOM}\ifmmode \tilde{}\else \~{}\fi{}\ensuremath{-})$ renormalized running coupling constant up to the leading logarithm. By the use of a phenomenological hypothesis leading to the factorization of the condensates through a perturbative vacuum insertion, the only relevant condensate in the game is $〈{A}^{2}〉.$ The validity of the OPE formula is tested by searching for a good-quality coherent description of previous lattice evaluations of the $\mathrm{MOM}\ifmmode \tilde{}\else \~{}\fi{}$-renormalized gluon propagator and running coupling.
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