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Physical Review D 85 (2012) 034503
Ghost-gluon coupling, power corrections and $Λ_{\bar{\rm MS}}$ from lattice QCD with a dynamical charm
B. Blossier1, Ph. Boucaud1, M. Brinet2, F. De Soto, X. Du2, M. Gravina, V. Morenas3, O. Pène, K. Petrov, J. Rodríguez-Quintero

This paper is a first report on the determination of $\Lambda_{\msbar}$ from lattice simulations with 2+1+1 twisted-mass dynamical flavours {\it via} the computation of the ghost-gluon coupling renormalized in the MOM Taylor scheme. We show this approach allows a very good control of the lattice artefacts and confirm the picture from previous works with quenched and ${\rm N}_f$=2 twisted-mass field configurations which prove the necessity to include non-perturbative power corrections in the description of the running. We provide with an estimate of $\Lambda_{\msbar}$ in very good agreement with experimental results. To our knowledge it is the first calculation with a dynamical charm quark which makes the running up to $\alpha_s(M_Z)$ much safer.
1 :  LPT - Laboratoire de Physique Théorique d'Orsay
2 :  LPSC - Laboratoire de Physique Subatomique et de Cosmologie
3 :  LPC-CLERMONT - Laboratoire de Physique Corpusculaire de Clermont-Ferrand
Physique/Physique des Hautes Energies - Réseau
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