# Testing the operator product expansion Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm

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 ${\cal O}(\alpha^4)$. As also $\Lambda_{\msbar}$ 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.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00783419
Contributor : Emmanuelle Vernay <>
Submitted on : Friday, February 1, 2013 - 9:44:52 AM
Last modification on : Tuesday, April 20, 2021 - 12:00:13 PM

### Citation

B. Blossier, Ph. Boucaud, M. Brinet, F. de Soto, Vincent Morenas, et al.. Testing the operator product expansion Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm. Physical Review D, American Physical Society, 2013, 87, pp.074033. ⟨10.1103/PhysRevD.87.074033⟩. ⟨in2p3-00783419⟩

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