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

Abstract

We compute a compact operator product expansion (OPE) formula describing power corrections to the perturbative expression for the asymmetric momentum subtraction–(MOM̃−) 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 ⟨A2⟩. The validity of the OPE formula is tested by searching for a good-quality coherent description of previous lattice evaluations of the MOM̃-renormalized gluon propagator and running coupling.