# Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach

Abstract : We present a lattice calculation of the renormalized running coupling constant in symmetric (MOM) and asymmetric ($\widetilde{\rm MOM}$) momentum substraction schemes including $u$, $d$, $s$ and $c$ quarks in the sea. An Operator Product Expansion dominated by the dimension-two $\langle A^2\rangle$ condensate is used to fit the running of the coupling. We argue that the agreement in the predicted $\langle A^2\rangle$ condensate for both schemes is a strong support for the validity of the OPE approach and the effect of this non-gauge invariant condensate over the running of the strong coupling.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00873576
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Submitted on : Wednesday, October 16, 2013 - 8:43:10 AM
Last modification on : Tuesday, April 20, 2021 - 12:00:12 PM

### Citation

Ph. Boucaud, M. Brinet, F. de Soto, Vincent Morenas, O. Pène, et al.. Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach. Journal of High Energy Physics, Springer, 2014, 04, pp.086. ⟨10.1007/JHEP04(2014)086⟩. ⟨in2p3-00873576⟩

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