# Ghost-gluon coupling, power corrections and $Λ_{\bar{\rm MS}}$ from lattice QCD with a dynamical charm

Abstract : 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.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00636240
Contributor : Emmanuelle Vernay <>
Submitted on : Thursday, October 27, 2011 - 8:57:46 AM
Last modification on : Tuesday, April 20, 2021 - 12:00:10 PM

### Citation

B. Blossier, Ph. Boucaud, M. Brinet, F. de Soto, X. Du, et al.. Ghost-gluon coupling, power corrections and $Λ_{\bar{\rm MS}}$ from lattice QCD with a dynamical charm. Physical Review D, American Physical Society, 2012, 85, pp.034503. ⟨10.1103/PhysRevD.85.034503⟩. ⟨in2p3-00636240⟩

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