The running coupling of QCD with four flavors

Abstract

We have calculated the step scaling function and the running coupling of QCD in the Schroedinger functional scheme with four flavors of O(a) improved Wilson quarks. Comparisons of our non-perturbative results with 2-loop and 3-loop perturbation theory as well as with non-perturbative data for only two flavors are made.

22 pages, 4 figures

References in corpus (3)

• Ab-initio Determination of Light Hadron Masses
• Light baryon masses with dynamical twisted mass fermions
• The SF running coupling with four flavours of staggered quarks

Cited by in corpus (38)

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• Light Hadron Masses from Lattice QCD
• The gradient flow coupling in the Schrödinger Functional
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• QCD Running Couplings and Effective Charges
• Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\mathrm{f}}=3$ QCD
• Determination of the QCD $\Lambda$-parameter and the accuracy of perturbation theory at high energies
• Improving the continuum limit of gradient flow step scaling
• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• Non-perturbative renormalization of quark mass in Nf=2+1 QCD with the Schroedinger functional scheme
• The Yang-Mills gradient flow in finite volume
• The gradient flow running coupling with twisted boundary conditions
• A non-perturbative exploration of the high energy regime in $N_{\text{f}}=3$ QCD
• Non-perturbative determination of the $\Lambda$-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling
• Non-perturbative renormalization by decoupling
• Lattice determinations of the strong coupling
• The gradient flow running coupling scheme
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: non-perturbative tuning
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
• Non-perturbative running of the coupling from four flavour lattice QCD with staggered quarks
• Scale setting for $N_f=3+1$ QCD
• The running coupling of 8 flavors and 3 colors
• One-loop lattice artifacts of a dynamical charm quark
• The running coupling of the minimal sextet composite Higgs model
• Gradient flow step-scaling function for SU(3) with $N_f$ = 6 or 4 fundamental flavors
• Towards Four-Flavour Dynamical Simulations
• Strong coupling and quark masses from lattice QCD
• Running of the SF-coupling with four massless flavours
• Numerical determination of the $\Lambda$-parameter in SU(3) gauge theory from the twisted gradient flow coupling
• On the perturbative renormalisation of four-quark operators for new physics
• Memory efficient finite volume schemes with twisted boundary conditions
• On the first-principles determination of the Standard Model fundamental parameters in the quark sector
• Determination of c_sw in N_f=3+1 Lattice QCD with massive Wilson fermions