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arXiv · 1301.7593

Testing the OPE Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm

B. Blossier·Ph. Boucaud·M. Brinet·F. De Soto·V. Morenas·O. Pène·K. Petrov·J. Rodríguez-Quintero
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Abstract

Gluon and ghost propagators data, obtained in Landau gauge from lattice simulations with two light and two heavy dynamical quark flavours ($N_f$=2+1+1), are described here with a running formula including a four-loop perturbative expression and a nonperturbative OPE correction dominated by the local operator $A^2$. The Wilson coefficients and their variation as a function of the coupling constant are extracted from the numerical data and compared with the theoretical expressions that, after being properly renormalized, are known at ${\cal O}(α^4)$. As also $Λ_{\msbar}$ is rather well known for $N_f$=2+1+1, this allows for a precise consistency test of the OPE approach in the joint description of different observables.

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B. Blossier, Ph. Boucaud, M. Brinet, F. De Soto, V. Morenas, O. Pène, K. Petrov, J. Rodríguez-Quintero. 2013-01-31. Testing the OPE Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm. https://doi.org/10.1103/physrevd.87.074033

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