Lattice simulations with $N_f=2+1$ improved Wilson fermions at a fixed strange quark mass

Abstract

The explicit breaking of chiral symmetry of the Wilson fermion action results in additive quark mass renormalization. Moreover, flavour singlet and non-singlet scalar currents acquire different renormalization constants with respect to continuum regularization schemes. This complicates keeping the renormalized strange quark mass fixed when varying the light quark mass in simulations with $N_f=2+1$ sea quark flavours. Here we present and validate our strategy within the CLS (Coordinated Lattice Simulations) effort to achieve this in simulations with non-perturbatively order-$a$ improved Wilson fermions. We also determine various combinations of renormalization constants and improvement coefficients.

18 pages, 11 Figures, V2: References added/updated, all fits rerun with improved statistics for ensemble N204, also using the final values for the improvement coefficients A and b_P-b_A (very minor impact), The figures have been replotted accordingly. (The differences with respect to V1 are invisible to the human eye). Minor changes

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Cited by in corpus (49)

• FLAG Review 2019
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• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• The elastic $I=3/2$ $p$-wave nucleon-pion scattering amplitude and the $\Delta (1232)$ resonance from $N_{\mathrm{f}}=2+1$ lattice QCD
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• FLAG Review 2024
• Hadro-quarkonium from Lattice QCD
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• 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
• Remarks on strange-quark simulations with Wilson fermions
• Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors
• Towards the quark mass dependence of $T_{cc}^{+}$ from lattice QCD
• On the convergence of the chiral expansion for the baryon ground-state masses
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Second moment of the pion distribution amplitude with the momentum smearing technique
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Octet baryon isovector charges from $N_f=2+1$ lattice QCD
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Charmonium resonances with $J^{PC}=1^{--}$ and $3^{--}$ from $\bar{D}D$ scattering on the lattice
• Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
• Power corrections from decoupling of the charm quark
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• Doubly charm tetraquark channel with isospin $1$ from lattice QCD
• Mellin moments of spin dependent and independent PDFs of the pion and rho meson
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• Lattice results for the longitudinal spin structure and color forces on quarks in a nucleon
• Light quark masses in N_f = 2+1 lattice QCD with Wilson fermions
• On a first order transition in QCD with up, down and strange quarks
• 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
• Determination of the charm quark mass in lattice QCD with $2+1$ flavours on fine lattices
• The renormalised $\mathrm{O}(a)$ improved vector current in three-flavour lattice QCD with Wilson quarks
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• A fully non-perturbative charm-quark tuning using machine learning
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
• Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators
• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
• Charmonium resonances on the lattice
• Charm sea effects on charmonium decay constants and heavy meson masses
• Running of the Electroweak Gauge Couplings from First Principles
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Pion and Kaon Distribution Amplitudes from lattice QCD: towards the continuum limit
• Towards the determination of the charm quark mass on $N_{\mathrm{f}}=2+1$ CLS ensembles