Remarks on the determination of the Landau gauge OPE for the asymmetric three gluon vertex

We compute a compact operator product expansion (OPE) formula describing power corrections to the perturbative expression for the asymmetric momentum subtraction–$(\mathrm{MOM}̃-)$ 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 $\mathrm{MOM}̃$-renormalized gluon propagator and running coupling.