Ghost-gluon coupling, power corrections, andΛMS¯from lattice QCD with a dynamical charm
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Abstract
This paper is a first report on the determination of ${\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}}$ from lattice simulations with $2+1+1$ twisted-mass dynamical flavors 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 ${\mathrm{N}}_{f}=2$ twisted-mass field configurations, which prove the necessity to include nonperturbative power corrections in the description of the running. We provide an estimate of ${\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}}$ 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 ${\ensuremath{\alpha}}_{s}({M}_{Z})$ much safer.
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