Mass-improvement of the vector current in three-flavor QCD

Abstract

We determine two improvement coefficients which are relevant to cancel mass-dependent cutoff effects in correlation functions with operator insertions of the non-singlet local QCD vector current. This determination is based on degenerate three-flavor QCD simulations of non-perturbatively O(a) improved Wilson fermions with tree-level improved gauge action. Employing a very robust strategy that has been pioneered in the quenched approximation leads to an accurate estimate of a counterterm cancelling dynamical quark cutoff effects linear in the trace of the quark mass matrix. To our knowledge this is the first time that such an effect has been determined systematically with large significance.

15 pages, 4 figures, 3 tables, published version (typo corrected)

References in corpus (8)

• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
• Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\mathrm{f}}=3$ QCD
• Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD
• CLS 2+1 flavor simulations at physical light- and strange-quark masses
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Non-perturbative determination of c_V, Z_V and Z_S/Z_P in N_f=3 lattice QCD

Cited by in corpus (9)

• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
• Lattice QCD and the anomalous magnetic moment of the muon
• Non-perturbative renormalization and O$(a)$-improvement of the non-singlet vector current with $N_{\mathrm{f}}=2+1$ Wilson fermions and tree-level Symanzik improved gauge action
• Non-perturbative determination of improvement coefficients b_m and b_A-b_P and normalisation factor Z_m*Z_P/Z_A with N_f=3 Wilson fermions
• The renormalised $\mathrm{O}(a)$ improved vector current in three-flavour lattice QCD with Wilson quarks
• Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_{\mathrm{g}}$
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings