Domain wall QCD with physical quark masses

Abstract

We present results for several light hadronic quantities ($f_{\pi }$, $f_K$, $B_K$, $m_{ud}$, $m_s$, $t_0^{1/2}$, $w_0$) obtained from simulations of 2+1 flavor domain wall lattice QCD with large physical volumes and nearly-physical pion masses at two lattice spacings. We perform a short, O(3)%, extrapolation in pion mass to the physical values by combining our new data in a simultaneous chiral/continuum `global fit' with a number of other ensembles with heavier pion masses. We use the physical values of $m_{\pi }$, $m_K$ and $m_{\Omega }$ to determine the two quark masses and the scale - all other quantities are outputs from our simulations. We obtain results with sub-percent statistical errors and negligible chiral and finite-volume systematics for these light hadronic quantities, including: $f_{\pi }$ = 130.2(9) MeV; $f_K$ = 155.5(8) MeV; the average up/down quark mass and strange quark mass in the $\overline{\mathrm{MS}}$ scheme at 3 GeV, 2.997(49) and 81.64(1.17) MeV respectively; and the neutral kaon mixing parameter, $B_K$, in the RGI scheme, 0.750(15) and the $\overline{\mathrm{MS}}$ scheme at 3 GeV, 0.530(11).

131 pages, 30 figures. Updated to match published version

References in corpus (16)

• Ab initio calculation of the neutron-proton mass difference
• High-precision scale setting in lattice QCD
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Critical slowing down and error analysis in lattice QCD simulations
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Lattice QCD at the physical point: light quark masses
• Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
• Local coherence and deflation of the low quark modes in lattice QCD
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
• Finite-Volume Electromagnetic Corrections to the Masses of Mesons, Baryons and Nuclei
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• Step Scaling with off-shell renormalisation
• Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion
• Fourier Accelerated Conjugate Gradient Lattice Gauge Fixing

Cited by in corpus (212)

• The anomalous magnetic moment of the muon in the Standard Model
• FLAG Review 2019
• FLAG Review 2021
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• The QCD phase structure at finite temperature and density
• Flavor structures of charged fermions and massive neutrinos
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• 50 Years of Quantum Chromodynamics
• Setting the scale for the CLS $2+1$ flavor ensembles
• Parton distributions and lattice QCD calculations: toward 3D structure
• Proton Mass Decomposition from the QCD Energy Momentum Tensor
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Improved lattice computation of proton decay matrix elements
• QCD phase structure from functional methods
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• $\pi$N and strangeness sigma terms at the physical point with chiral fermions
• Quark spins and Anomalous Ward Identity
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Effective charge from lattice QCD
• Hadronic tau decays as New Physics probes in the LHC era
• ΔS=2 and ΔC=2 bag parameters in the SM and beyond from Nf=2+1+1 twisted-mass LQCD
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• QCD at finite temperature and density within the fRG approach: An overview
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• ${\Lambda }_c\to \Lambda {\ell }^{+}{\nu }_{\ell }$ form factors and decay rates from lattice QCD with physical quark masses
• Gluon propagator and three-gluon vertex with dynamical quarks
• Glue spin and helicity in proton from lattice QCD
• Neutral Kaon Mixing Beyond the Standard Model with $n_f=2+1$ Chiral Fermions Part 1: Bare Matrix Elements and Physical Results
• ${\Lambda }_c\to N$ form factors from lattice QCD and phenomenology of ${\Lambda }_c\to n{\ell }^{+}{\nu }_{\ell }$ and ${\Lambda }_c\to p{\mu }^{+}{\mu }^{-}$ decays
• FLAG Review 2024
• First-principles calculation of electroweak box diagrams from lattice QCD
• Reconstructing QCD Spectral Functions with Gaussian Processes
• Lattice simulations with $N_f=2+1$ improved Wilson fermions at a fixed strange quark mass
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• On Lattice Calculation of Electric Dipole Moments and Form Factors of the Nucleon
• The decay constants ${\mathbf{f}}_{\mathbf{D}}$ and ${\mathbf{f}}_{{\mathbf{D}}_{\mathbf{s}}}$ in the continuum limit of ${\mathbf{N}}_{\mathbf{f}}=2+1$ domain wall lattice QCD
• Direct CP violation and the $\Delta I=1/2$ rule in $K\to \pi \pi$ decay from the Standard Model
• Lattice QCD determination of neutron-antineutron matrix elements with physical quark masses
• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• Lattice QCD and Neutrino-Nucleus Scattering
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Towards the nucleon hadronic tensor from lattice QCD
• Strange Quark Magnetic Moment of the Nucleon at Physical Point
• $|V_{us}|$ from $K_{\ell 3}$ decay and four-flavor lattice QCD
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Proton decay matrix elements on the lattice at physical pion mass
• Nonperturbatively-renormalized glue momentum fraction at physical pion mass from Lattice QCD
• Constraints on charm-anticharm asymmetry in the nucleon from lattice QCD
• Status and Future Perspectives for Lattice Gauge Theory Calculations to the Exascale and Beyond
• Semileptonic tau decays beyond the Standard Model
• Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD
• BSM Kaon Mixing at the Physical Point
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• First exploratory calculation of the long-distance contributions to the rare kaon decays $K\to \pi {\ell }^{+}{\ell }^{-}$
• Nonperturbative Regulator for Chiral Gauge Theories?
• Quark masses and strong coupling constant in 2+1 flavor QCD
• Wilson flow and scale setting from lattice QCD
• Long-distance Contributions to Neutrinoless Double Beta Decay ${\pi }^{-}\to {\pi }^{+}ee$
• Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
• Lattice Calculation of Pion Form Factor with Overlap Fermions
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Variance Reduction and Cluster Decomposition
• Neutron-antineutron oscillations from lattice QCD
• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ form factors from lattice QCD and improved analysis of the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ and ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625)$ form factors
• Update on $|V_{us}|$ and $|V_{us}/V_{ud}|$ from semileptonic kaon and pion decays
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
• Lattice QCD study of the rare kaon decay $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ at a near-physical pion mass
• Nonperturbative strange-quark sea from lattice QCD, light-front holography, and meson-baryon fluctuation models
• Lattice QCD calculation of the pion charge radius using a model-independent method
• Neutron and proton electric dipole moments from $N_f=2+1$ domain-wall fermion lattice QCD
• Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$
• Machine-Learning Prediction for Quasi-PDF Matrix Elements
• Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD
• ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ form factors from lattice QCD
• Chiral Symmetry Breaking on the Lattice
• ${\epsilon }^{\prime }/\epsilon$ in the Standard Model at the Dawn of the 2020s
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Charmed and $\varphi$ meson decay constants from 2+1-flavor lattice QCD
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625){\ell }^{-}\bar{\nu }$ form factors from lattice QCD
• SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons
• Non-perturbative strong coupling at timelike momenta
• Lattice QCD Calculation of the Pion Mass Splitting
• Sea Quarks Contribution to the Nucleon Magnetic Moment and Charge Radius at the Physical Point
• Constraints on $Z^{\prime }$ Boson within Minimal Flavor Violation
• Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral fermions part II: Non Perturbative Renormalisation of the $\Delta F=2$ four-quark operators
• Left-right model with TeV fermionic dark matter and unification
• A Demonstration of Hadron Mass Origin from QCD Trace Anomaly
• Lattice determinations of the strong coupling
• QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
• RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations
• Coherent $\mu -e$ Conversion at Next-to-Leading Order
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Flavour breaking effects in the pseudoscalar meson decay constants
• Lattice QCD calculation of ${\pi }^0\to e^{+}{e}^{-}$ decay
• Lattice QCD calculation of the two-photon exchange contribution to the muonic-hydrogen Lamb shift
• Leptonic decay-constant ratio $f_K/f_{\pi }$ from lattice QCD using 2+1 clover-improved fermion flavors with 2-HEX smearing
• An exploratory study of heavy domain wall fermions on the lattice
• Calculating $\Delta m_K$ with lattice QCD
• Weak production of strange and charm ground-state baryons in nuclei
• The asymptotic approach to the continuum of lattice QCD spectral observables
• Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
• Background field method in the gradient flow
• $O(4)$-symmetric position-space renormalization of lattice operators
• Non-leptonic kaon decays at large $N_c$
• Light quark masses in N_f = 2+1 lattice QCD with Wilson fermions
• Neutral Kaon mixing beyond the Standard Model
• $K_{l3}$ form factors at the physical point on (10.9 fm)${}^3$ volume
• Constraints on subleading interactions in beta decay Lagrangian
• Roper State from Overlap Fermions
• A massive momentum-subtraction scheme
• The kaon semileptonic form factor in Nf=2+1 domain wall lattice QCD with physical light quark masses
• A new look at the theory uncertainty of epsilon_K
• The nucleon isovector tensor charge from lattice QCD using chiral fermions
• Anatomy of the $\rho$ resonance from lattice QCD at the physical point
• Updated evaluation of ${\epsilon }_K$ in the Standard Model with lattice QCD inputs
• Nucleon mass and isovector couplings in 2+1-flavor dynamical domain-wall lattice QCD near physical mass
• Lattice QCD calculation of light sterile neutrino contribution in $0\nu 2\beta$ decay
• Quark masses: N3LO bridge from $RI/SMOM$ to $\overline{\mathrm{MS}}$ scheme
• $\eta$-glueball mixing from $N_f=2$ lattice QCD
• Glueballs at Physical Pion Mass
• $\Lambda$ parameter of the SU(3) Yang-Mills theory from the continuous $\beta$ function
• Lattice determination of $I=0$ and 2 $\pi \pi$ scattering phase shifts with a physical pion mass
• Neutral Weak Form Factors of Proton and Neutron
• Domain Wall Fermion QCD with the Exact One Flavor Algorithm
• Quark chiral condensate from the overlap quark propagator
• Ratio of strange to $u/d$ momentum fraction in disconnected insertions
• Nonperturbatively Renormalized Nucleon Gluon Momentum Fraction in the Continuum Limit of $N_f=2+1+1$ Lattice QCD
• The decays $\tau \to (K,K(1460)){\nu }_{\tau }$ and the value of the weak decay coefficients $F_K$ and $F_{K^{{}^{\prime }}}$ in the extended NJL model
• Light and strange vector resonances from lattice QCD at physical quark masses
• Novel applications of Lattice QCD: Parton distribution functions, proton charge radius and neutron electric dipole moment
• Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD
• Neutrinoless Double Beta Decay from Lattice QCD: The Short-Distance ${\pi }^{-}\to {\pi }^{+}{e}^{-}{e}^{-}$ Amplitude
• Existence and Non-Existence of Doubly Heavy Tetraquark Bound States
• ${\Xi }_c\to \Xi$ form factors from lattice QCD with domain-wall quarks: A new piece in the puzzle of ${\Xi }_c^0$ decay rates
• Constraining inverse moment of $B$-meson distribution amplitude using Lattice QCD data
• Distance between various discretized fermion actions
• $\Delta I=3/2$ and $\Delta I=1/2$ channels of $K\to \pi \pi$ decay at the physical point with periodic boundary conditions
• Towards a discovery of BSM physics from the Cabibbo angle anomaly
• RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions
• Physical-mass calculation of $\rho (770)$ and $K^{\ast }(892)$ resonance parameters via $\pi \pi$ and $K\pi$ scattering amplitudes from lattice QCD
• Nucleon isovector scalar charge from overlap fermions
• Form factors for semi-leptonic $B$ decays
• Moderately Suppressed Dimension-five Proton Decay in a Flipped $SU(5)$ Model
• Non-perturbative running of renormalization constants from correlators in coordinate space using step scaling
• Is the ${\Lambda }_c(2625{)}^{+}$ the heavy quark spin symmetry partner of the ${\Lambda }_c(2595{)}^{+}$?
• Semileptonic weak Hamiltonian to $\mathcal{O}(\alpha {\alpha }_s({\mu }_{\mathrm{Lattice}}))$ in momentum-space subtraction schemes
• Enhanced $\Gamma (p\to K^0{\mu }^{+})/\Gamma (p\to K^{+}{\bar{\nu }}_{\mu })$ as a Signature of Minimal Renormalizable SUSY $SO(10)$ GUT
• RI-(S)MOM to $\overline{\mathrm{MS}}$ conversion for $B_K$ at two-loop order
• Hadronic Light by Light Contributions to the Muon Anomalous Magnetic Moment With Physical Pions
• Resolving the ${\varphi }_2$ ($\alpha$) ambiguity in $B^0\to a_1^{\pm }{\pi }^{\mp }$
• Isospin breaking corrections to the HVP at the physical point
• Quark flavor physics and lattice QCD
• Electromagnetic Corrections to Meson Masses and the HVP
• Renormalizable $SO(10)$ GUT with Suppressed Dimension-5 Proton Decays
• Hadronic form factors for rare semileptonic $B$ decays
• A resolution of the puzzle of low V_us values from inclusive flavor-breaking sum rule analyses of hadronic tau decay
• Progress in the Nucleon Electric Dipole Moment Calculations in Lattice QCD
• Single flavour optimisations to Hybrid Monte Carlo
• Selected results on hadron structure using state-of-the-art lattice QCD simulations
• Charm Physics with Domain Wall Fermions and Physical Pion Masses
• Hadronic light-by-light contribution to the muon anomalous magnetic moment from lattice QCD
• Trace anomaly and dynamical quark mass
• Initial nucleon structure results with chiral quarks at the physical point
• Nucleon structure from 2+1-flavor dynamical DWF ensembles
• Instanton dominance over ${\alpha }_s$ at low momenta from lattice QCD simulations at $N_f=0$, $N_f=2+1$ and $N_f=2+1+1$
• Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities
• Towards a Global Analysis of the $b\to c\bar{u}q$ Puzzle
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• Stochastic calculation of the Dirac spectrum on the lattice and a determination of chiral condensate in 2+1-flavor QCD
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Effective Field Theories and Lattice QCD
• The $I$ = 1/2 and 3/2 $K-\pi$ scattering length with domain wall fermions at physical pion mass with all-to-all propagators
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• Electron Mass Singularities in Semileptonic Kaon Decays
• Pion scattering in finite volume within the Inverse Amplitude Method
• Towards a non-perturbative calculation of Weak Hamiltonian Wilson coefficients
• Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD
• Application of Laplace filters to the analysis of lattice time correlators
• Calculating the Two-photon Contribution to ${\pi }^0\to e^{+}{e}^{-}$ Decay Amplitude
• Beyond the Standard Model Kaon Mixing with Physical Masses
• Light and strange quark masses from $N_f=2+1$ simulations with Wilson fermions
• Nonperturbative renormalization of the Delta-S=1 weak Hamiltonian including the G_1 operator
• The connected and leading disconnected diagrams of the hadronic light-by-light contribution to muon $g-2$
• Quark Masses from Lattice QCD
• Determining the scale in Lattice QCD
• Some nucleon isovector observables from 2+1-flavor domain-wall QCD at the physical pion mass
• NLO and NNLO Low Energy Constants for $SU(2)$ Chiral Perturbation Theory
• Towards the physical point hadronic vacuum polarisation from Moebius DWF
• Spectral sum of current correlators from lattice QCD
• A Lattice Story of Proton Spin
• 2+1 Flavor Domain Wall Fermion QCD Lattices: Ensemble Production and (some) Properties
• Global Determination of $|V_{us}|$
• $f_K/f_{\pi }$ in iso-symmetric QCD and the CKM matrix unitarity
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• Linking continuum and lattice quark mass functions via an effective charge
• QED corrections to meson masses
• Conjugate Directions in Lattice Landau and Coulomb Gauge Fixing
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
• Baryon and meson masses in the Nambu--Jona-Lasinio model: A Bayesian approach
• Prediction on Neutrino Dirac and Majorana Phases and Absolute Mass Scale from the CKM Matrix
• $\eta$ and ${\eta }^{\prime }$ mesons from $N_f=2+1$ lattice QCD at the physical point using topological charge operators
• Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature
• Low-energy constants from ALEPH hadronic tau decay data
• Nucleon mass: trace anomaly and $\sigma$-terms