$F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles

Abstract

We report the results of a lattice quantum chromodynamics calculation of $F_K/F_{\pi }$ using Möbius domain-wall fermions computed on gradient-flowed $N_f=2+1+1$ highly-improved staggered quark (HISQ) ensembles. The calculation is performed with five values of the pion mass ranging from $130\lesssim m_{\pi }\lesssim 400$ MeV, four lattice spacings of $a\sim 0.15,0.12,0.09$ and $0.06$ fm and multiple values of the lattice volume. The interpolation/extrapolation to the physical pion and kaon mass point, the continuum, and infinite volume limits are performed with a variety of different extrapolation functions utilizing both the relevant mixed-action effective field theory expressions as well as discretization-enhanced continuum chiral perturbation theory formulas. We find that the $a\sim 0.06$ fm ensemble is helpful, but not necessary to achieve a subpercent determination of $F_K/F_{\pi }$. We also include an estimate of the strong isospin breaking corrections and arrive at a final result of $F_{K^{\pm }}/F_{{\pi }^{\pm }}=1.1942(45)$ with all sources of statistical and systematic uncertainty included. This is consistent with the Flavour Lattice Averaging Group average value, providing an important benchmark for our lattice action. Combining our result with experimental measurements of the pion and kaon leptonic decays leads to a determination of $|V_{us}|/|V_{ud}|=0.2311(10)$.

arXiv commentv3: published version; v2: version submitted to journal; v1: 26 pages including 13 figures, appendices, and references. See https://github.com/callat-qcd/project_fkfpi for the analysis and data

References in corpus (88)

• A Method for Simulating Chiral Fermions on the Lattice
• Properties and uses of the Wilson flow in lattice QCD
• The Chroma Software System for Lattice QCD
• Chiral Fermions from Lattice Boundaries
• FLAG Review 2019
• Axial symmetries in lattice QCD with Kaplan fermions
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• On the Foundations of Chiral Perturbation Theory
• Chirally improving Wilson fermions - I. O(a) improvement
• High-precision scale setting in lattice QCD
• Infinite N phase transitions in continuum Wilson loop operators
• High-Precision Lattice QCD Confronts Experiment
• Monte Carlo errors with less errors
• Domain wall QCD with physical quark masses
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Spontaneous Flavor and Parity Breaking with Wilson Fermions
• Finite volume effects for meson masses and decay constants
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Mesonic low-energy constants
• Chiral symmetry and the Yang--Mills gradient flow
• Scaling studies of QCD with the dynamical HISQ action
• Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks
• Leading isospin breaking effects on the lattice
• Neutron Lifetime and Axial Coupling Connection
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Precise Determination of |V{us}| from Lattice Calculations of Pseudoscalar Decay Constants
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Bayesian model averaging for analysis of lattice field theory results
• Isovector Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Chiral perturbation theory at O(a^2) for lattice QCD
• Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
• First lattice calculation of the QED corrections to leptonic decay rates
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• Scaling Lattice QCD beyond 100 GPUs
• Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Short and Long Distance Effects in the Decay $\tau \to \pi {\nu }_{\tau }(\gamma )$
• Simulations with different lattice Dirac operators for valence and sea quarks
• Domain wall fermions with improved gauge actions
• Leading isospin-breaking corrections to pion, kaon and charmed-meson masses with Twisted-Mass fermions
• A note on isospin violation in Pl2(gamma) decays
• Baryons in Partially Quenched Chiral Perturbation Theory
• Mobius Fermions: Improved Domain Wall Chiral Fermions
• Hadronic physics with domain-wall valence and improved staggered sea quarks
• Heavy physics contributions to neutrinoless double beta decay from QCD
• The ratio FK/Fpi in QCD
• Radiative Corrections to pi_{l2} and K_{l2} Decays
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• Baryons with Ginsparg-Wilson quarks in a staggered sea
• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Over-Improved Stout-Link Smearing
• Moebius Fermions
• An asymptotic formula for the pion decay constant in a large volume
• Asymptotic behavior of cutoff effects in Yang-Mills theory and in Wilson's lattice QCD
• Universality of Mixed Action Extrapolation Formulae
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• Results for light pseudoscalar mesons
• Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants
• Logarithmic corrections to O(a^2) lattice artifacts
• An accurate calculation of the nucleon axial charge with lattice QCD
• Mixed Action Effective Field Theory: an Addendum
• Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• Finite Volume at Two-loops in Chiral Perturbation Theory
• The Pseudoscalar Meson Mass to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• Flavour breaking effects in the pseudoscalar meson decay constants
• Leptonic decay-constant ratio $f_K/f_{\pi }$ from lattice QCD using 2+1 clover-improved fermion flavors with 2-HEX smearing
• Analytic representation of $F_K/F_{\pi }$ in two loop chiral perturbation theory
• METAQ: Bundle Supercomputing Tasks
• CHIRON: a package for ChPT numerical results at two loops
• An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory
• Analytic representations of $m_K$, $F_K$, $m_{\eta }$ and $F_{\eta }$ in two loop $SU(3)$ chiral perturbation theory
• Job Management and Task Bundling
• A Python program for the implementation of the Γ-method for Monte Carlo simulations
• Mixed Action Lattice Spacing Effects on the Nucleon Axial Charge
• EspressoDB: A scientific database for managing high-performance computing workflow
• Finite Volume for Three-Flavour Partially Quenched Chiral Perturbation Theory through NNLO in the Meson Sector

Cited by in corpus (31)

• FLAG Review 2021
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• 50 Years of Quantum Chromodynamics
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Bayesian model averaging for analysis of lattice field theory results
• Towards a theory of hadron resonances
• FLAG Review 2024
• Scrutinizing CKM unitarity with a new measurement of the $K_{\mu 3}/K_{\mu 2}$ branching fraction
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Improved information criteria for Bayesian model averaging in lattice field theory
• Semileptonic tau decays beyond the Standard Model
• Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
• Ratio of kaon and pion leptonic decay constants with $N_f=2+1+1$ Wilson-clover twisted-mass fermions
• Update on $|V_{us}|$ and $|V_{us}/V_{ud}|$ from semileptonic kaon and pion decays
• Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Productions of $X(3872)$, $Z_c(3900)$, $X_2(4013)$, and $Z_c(4020)$ in $B_{(s)}$ decays offer strong clues on their molecular nature
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• 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 $w_0$
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Spectral-weight sum rules for the hadronic vacuum polarization
• Improved Standard-Model prediction for $K_L\to {\ell }^{+}{\ell }^{-}$
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Towards a discovery of BSM physics from the Cabibbo angle anomaly
• Semileptonic weak Hamiltonian to $\mathcal{O}(\alpha {\alpha }_s({\mu }_{\mathrm{Lattice}}))$ in momentum-space subtraction schemes
• Solving DWF Dirac Equation Using Multi-splitting Preconditioned Conjugate Gradient with Tensor Cores on NVIDIA GPUs
• Cabibbo angle anomalies and a global fit to vector-like quarks
• Updated determinations of |V${}_{us}$| with tau decays using new recent estimates of radiative corrections for light-meson leptonic decay rates
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants