New A and V gradient flow schemes enable nonperturbative renormalization of composite fermion operators via conserved currents and ratios of correlation functions, demonstrated on domain-wall ensembles for Z_V/Z_A and strange quark mass.
The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
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abstract
We present a lattice determination of the $\Lambda$ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from $0.2\,$GeV to $70\,$GeV, and using experimental input values for the masses and decay constants of the pion and the kaon, we obtain $\Lambda_{\overline{\rm MS}}^{(3)}=341(12)\,$MeV. The nonperturbative running up to very high energies guarantees that systematic effects associated with perturbation theory are well under control. Using the four-loop prediction for $\Lambda_{\overline{\rm MS}}^{(5)}/\Lambda_{\overline{\rm MS}}^{(3)}$ yields $\alpha^{(5)}_{\overline{\rm MS}}(m_{\rm Z}) = 0.11852(84)$.
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hep-lat 3representative citing papers
New non-perturbative renormalization and improvement results for currents and masses in Nf=3 O(a)-improved Wilson QCD at small a using Schrödinger functional boundary conditions and gradient flow tuning.
The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.
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Gradient Flow Renormalization Schemes for Composite Fermion Operators
New A and V gradient flow schemes enable nonperturbative renormalization of composite fermion operators via conserved currents and ratios of correlation functions, demonstrated on domain-wall ensembles for Z_V/Z_A and strange quark mass.
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Precision renormalisation and improvement of $N_{\rm f}=3$ lattice QCD with Wilson fermions
New non-perturbative renormalization and improvement results for currents and masses in Nf=3 O(a)-improved Wilson QCD at small a using Schrödinger functional boundary conditions and gradient flow tuning.
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FLAG Review 2024
The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.