BESIII reports the first measurement of B(Ds+ → K0 μ+ νμ) = (2.89 ± 0.27stat ± 0.12syst) × 10^{-3} and extracts f^{K0}_+(0) = 0.623 ± 0.036stat ± 0.009syst and |Vcd| = 0.220 ± 0.013stat ± 0.003syst ± 0.001LQCD from 7.33 fb^{-1} of data.
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FLAG Review 2024
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abstract
We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to \pi$ transition at zero momentum transfer, as well as the decay-constant ratio $f_K/f_\pi$ and its consequences for the CKM matrix elements $V_{us}$ and $V_{ud}$. We review the determination of the $B_K$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $m_c$ and $m_b$ as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $\alpha_s$. We review the determinations of nucleon charges from the matrix elements of both isovector and flavour-diagonal axial, scalar and tensor local quark bilinears, and momentum fraction, helicity moment and the transversity moment from one-link quark bilinears. We also review determinations of scale-setting quantities. Finally, in this review we have added a new section on the general definition of the low-energy limit of the Standard Model.
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representative citing papers
The anomalous dimension of |ΔS|=1 current-current operators is calculated analytically at NNNLO in QCD, with basis transformation rules provided.
Lattice QCD strategy interpolates sub-physical mass data with OPE to obtain the inclusive anti-B_s to X_sc l nu decay rate, yielding 7% precision on limited ETMC ensembles via a new four-point correlator method.
Earth screening of quadratically coupled ultralight dark matter produces a multi-band frequency structure in the induced force whose sideband amplitudes vary annually, enabling improved constraints from MICROSCOPE and future EP missions.
A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
Lattice QCD supplies Standard Model branching-fraction predictions for all four K to l nu l' l' channels with controlled uncertainties of 2-7 percent, consistent with published data and preliminary NA62 results.
The causal bootstrap computes rigorous bounds on smeared spectral functions from non-perturbative Euclidean data by optimizing over the convex set of compatible positive spectral densities and reducing dual problems to semidefinite programs for certain kernels.
First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.
Lattice QCD yields the scalar and tensor form factors for Λ→pℓν̄ℓ as functions of q², providing a model-independent input to constrain non-standard charged-current interactions via the predicted R^{μe} ratio compared to experiment.
A hierarchical generative model for critical lattice scalar field theories achieves orders-of-magnitude lower autocorrelation times than HMC while enabling exact multilevel Monte Carlo.
First measurement of form factors r_A ≈ -0.112 and r_V ≈ -0.043 in D semileptonic decays to K1(1270) via amplitude analysis, plus improved branching fractions and upper limits on K1(1400) modes.
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.
A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diagonalization.
Normalizing flows enable all-order QED corrections in lattice scalar QED in 2-4 dimensions with reduced variance and transferability from small to large lattices.
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
A symmetry-protected mirror extension predicts fifth-force strength α ≈ 10^{-4} at meter scales for scalaron mass m_σ ≈ 10^{-7} eV without relying on environmental screening.
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Derives α_S(μ) ≃ Λ_S²/μ² from a scale-invariant gluon condensate via gradient flow, reaching an infrared fixed point consistent with confinement.
Virtual electromagnetic corrections largely cancel radiative-channel contributions in data-driven HVP evaluations for muon g-2, reconciling timelike and spacelike methods via a VMD model.
Twisted mass fermions in the Hamiltonian two-flavor Schwinger model yield O(a) improvement and milder finite-volume effects once mass renormalization tunes the system to maximal twist.
Lattice QCD evaluation of π⁻→π⁺ee matrix elements at physical pion mass with a new around-the-world subtraction technique and RI/SMOM renormalization that reduces uncertainties and cross-checks prior results.
Trie-structured algorithms compute κ^8 to κ^12 terms in the hopping expansion of Tr ln M at costs scaling from 20x to 8900x a staple, verified by direct comparison to a reference calculation.
Tuning study of aHISQ action on anisotropic lattices from 1 to 8, with comparison of fermion anisotropy tuning and an empirical model for pion taste splittings showing qualitatively different behavior versus naive staggered quarks.
LASSO regression on LQCD data determines quark-mass dependence of f_π, f_K, f_η in N²LO three-flavor ChPT and supplies LECs for SU(3)-limit baryon mass predictions.
citing papers explorer
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Four-loop QCD mixing of current-current operators
The anomalous dimension of |ΔS|=1 current-current operators is calculated analytically at NNNLO in QCD, with basis transformation rules provided.
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Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD
First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.
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Scalar and Tensor Form Factors for $\Lambda \rightarrow p\ell \bar{\nu}_\ell$ from Lattice QCD
Lattice QCD yields the scalar and tensor form factors for Λ→pℓν̄ℓ as functions of q², providing a model-independent input to constrain non-standard charged-current interactions via the predicted R^{μe} ratio compared to experiment.
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Scalable Generative Sampling and Multilevel Estimation for Lattice Field Theories Near Criticality
A hierarchical generative model for critical lattice scalar field theories achieves orders-of-magnitude lower autocorrelation times than HMC while enabling exact multilevel Monte Carlo.
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A Phenomenological Model of Mesons for Charged Current Weak Decays
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
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Ether of Orbifolds
Orbifold lattices incur m^4 Trotter overhead, m^2 contamination, and mandatory mass extrapolation, rendering them 10^4 to 10^10 times costlier than alternatives for a 10^3 calculation.
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The strange and flavor-singlet axial form factors of the nucleon from lattice QCD
Lattice QCD yields the singlet axial form factor G_A^{u+d+s}(Q^2) and strange G_A^s(Q^2) with full error budget after chiral, continuum, and infinite-volume extrapolations.
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Tightening energy-based boson truncation bound using Monte Carlo-assisted methods
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.
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Inclusive semileptonic $D_s\to X_s\ell\bar\nu$ decays from lattice QCD: continuum and chiral extrapolation
Lattice QCD yields the Ds to Xs l nu inclusive decay rate in agreement with experiment after full chiral and continuum extrapolations, with few-percent total uncertainty.
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Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD
Lattice QCD and tau-decay dispersive calculations of isospin-one HVP generally agree, except for a significant difference in the 2π−π+π0 four-pion mode contribution to window quantities.
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$CP$ violation in neutral kaon mixing in $D^0\rightarrow K_SK_S$
Neutral kaon mixing adds a CP-violating effect of order 10^{-6} to a_CP in D0 -> Ks Ks, arising only from second-order weak processes and thus negligible for experiments.
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Review of experimental studies of charmed meson decays at BESIII
A review of BESIII charmed meson decay studies presents the most precise averages for |V_cs|, |V_cd|, D and D_s decay constants, and several hadronic form factors from combined experimental results.
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Isospin-symmetry violation -- kaons and beyond (ISO-BREAK 25: summary and outlook)
The ISO-BREAK 25 workshop report summarizes evidence and discussions on unexplained isospin symmetry breaking in nucleus-nucleus collisions and sets priorities for further work.