Testing the operator product expansion Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm - Archive ouverte HAL Access content directly
Journal Articles Physical Review D Year : 2013

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

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B. Blossier
• Function : Author
Ph. Boucaud
M. Brinet
• Function : Author
F. de Soto
• Function : Author
O. Pène
• Function : Author
K. Petrov
• Function : Author
J. Rodríguez-Quintero
• Function : Author

#### 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.

### Dates and versions

in2p3-00783419 , version 1 (01-02-2013)

### Identifiers

• HAL Id : in2p3-00783419 , version 1
• ARXIV :
• DOI :

### Cite

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, 2013, 87, pp.074033. ⟨10.1103/PhysRevD.87.074033⟩. ⟨in2p3-00783419⟩

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