Lattice QCD yields the NLO HVP contribution to muon g-2 as -101.57(26)stat(54)syst ×10^{-11}, 1.4σ below the 2025 White Paper estimate and twice as precise.
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Leading hadronic contribution to the muon magnetic moment from lattice QCD
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Lattice QCD gives a_μ^{hvp,nlo} = (-101.57 ± 0.60) × 10^{-11} at 0.6% precision, 1.4σ below the 2025 White Paper estimate and in 4.6σ tension with pre-CMD-3 data-driven results.
Light new particles generate asymmetries in e+e- to tau+tau- that allow model-dependent constraints on tau dipole moments, including non-zero effects without electron polarization via imaginary parts.
A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.
Lattice QCD calculation of pion electromagnetic mass splitting yields 4.56(22) MeV using Pauli-Villars photon propagator on CLS ensembles, agreeing with experiment after continuum, volume, and physical-point extrapolations.
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.
Isospin-corrected inclusive τ spectral functions yield light-quark-connected HVP and window quantities consistent with lattice QCD, but the 2π⁻π⁺π⁰ mode differs significantly from e⁺e⁻-based Pais expectations.
A general framework quantifies correlation-induced uncertainties in precision data combinations and applies it to e+e- to hadrons cross sections for muon g-2 HVP determinations.
Disperon QED is a new technique that feeds experimental data into higher-order QED loop calculations in Monte Carlo generators via dispersion relations and threshold subtraction.
PrecisionSM is a new annotated database of low-energy e+e- hadronic cross sections for use in data-driven calculations of the muon anomalous magnetic moment a_mu.
This work provides a comprehensive analysis of light new physics contributions to tau lepton dipole moments, detailing interpretations of asymmetry measurements for spin-0 and spin-1 bosons, their decoupling to the EFT limit, and a case study of a tauphilic vector boson at Belle II.
A new model with SU(2)_D symmetry and vector-like muons mediates vector dark matter, simultaneously addressing relic abundance and muon g-2 while identifying an off-resonance suppression mechanism for light DM and deriving collider bounds.
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.
Feasibility study of combined LQCD and experimental data on pion TFF via modified z-expansion fit reports up to 3x uncertainty reduction in singly-virtual limit but only 1.5x improvement for the pion-pole g-2 contribution.
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.
DREAMuS proposes a muon-beam fixed-target setup at HIAF to probe GeV-scale muon-philic dark matter with sensitivity to couplings around 10^{-4} using background-suppressed signatures from a light flavor-violating mediator.
Future muon colliders can probe Kaluza-Klein excitations of a 5D U(1)_{Lμ-Lτ} gauge boson across MeV to TeV masses with couplings down to 10^{-5}.
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.
Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.
Five-dimensional U(1)_{Lμ-Lτ} model predicts multiple gauge bosons whose contributions to elastic neutrino-electron scattering can be probed at DUNE, covering much of the muon (g-2) consistent parameter space.
Lattice QCD on finer grids yields a_μ^LO-HVP = 715.1(3.4)×10^{-10}, producing a standard-model prediction for a_μ that differs from experiment by only 0.5 sigma.
The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.
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Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
Lattice QCD yields the NLO HVP contribution to muon g-2 as -101.57(26)stat(54)syst ×10^{-11}, 1.4σ below the 2025 White Paper estimate and twice as precise.
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Lattice determination of the higher-order hadronic vacuum polarization contribution to the muon $g-2$
Lattice QCD gives a_μ^{hvp,nlo} = (-101.57 ± 0.60) × 10^{-11} at 0.6% precision, 1.4σ below the 2025 White Paper estimate and in 4.6σ tension with pre-CMD-3 data-driven results.
-
Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
Light new particles generate asymmetries in e+e- to tau+tau- that allow model-dependent constraints on tau dipole moments, including non-zero effects without electron polarization via imaginary parts.
-
Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles
A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.
-
Electromagnetic pion mass splitting using a Pauli-Villars-regulated photon propagator
Lattice QCD calculation of pion electromagnetic mass splitting yields 4.56(22) MeV using Pauli-Villars photon propagator on CLS ensembles, agreeing with experiment after continuum, volume, and physical-point extrapolations.
-
Normalizing flows for all-orders QED corrections in lattice field theory
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.
-
Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD
Isospin-corrected inclusive τ spectral functions yield light-quark-connected HVP and window quantities consistent with lattice QCD, but the 2π⁻π⁺π⁰ mode differs significantly from e⁺e⁻-based Pais expectations.
-
Muon $g$$-$2: correlation-induced uncertainties in precision data combinations
A general framework quantifies correlation-induced uncertainties in precision data combinations and applies it to e+e- to hadrons cross sections for muon g-2 HVP determinations.
-
Disperon QED
Disperon QED is a new technique that feeds experimental data into higher-order QED loop calculations in Monte Carlo generators via dispersion relations and threshold subtraction.
-
PrecisionSM: an annotated database for low-energy $e^+e^-$ hadronic cross sections
PrecisionSM is a new annotated database of low-energy e+e- hadronic cross sections for use in data-driven calculations of the muon anomalous magnetic moment a_mu.
-
Light new physics and the $\tau$ lepton dipole moments
This work provides a comprehensive analysis of light new physics contributions to tau lepton dipole moments, detailing interpretations of asymmetry measurements for spin-0 and spin-1 bosons, their decoupling to the EFT limit, and a case study of a tauphilic vector boson at Belle II.
-
The Muonic Portal to Vector Dark Matter:connecting precision muon physics, cosmology, and colliders
A new model with SU(2)_D symmetry and vector-like muons mediates vector dark matter, simultaneously addressing relic abundance and muon g-2 while identifying an off-resonance suppression mechanism for light DM and deriving collider bounds.
-
Field-theoretic versus data-driven evaluations of electromagnetic corrections to hadronic vacuum polarization in $(g-2)_\mu$
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.
-
Combined Analysis of Lattice QCD and Experimental Data on the Pion Transition Form Factor
Feasibility study of combined LQCD and experimental data on pion TFF via modified z-expansion fit reports up to 3x uncertainty reduction in singly-virtual limit but only 1.5x improvement for the pion-pole g-2 contribution.
-
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.
-
DREAMuS: Dark matter REsearch with Advanced Muon Source
DREAMuS proposes a muon-beam fixed-target setup at HIAF to probe GeV-scale muon-philic dark matter with sensitivity to couplings around 10^{-4} using background-suppressed signatures from a light flavor-violating mediator.
-
Aspects of a Five-Dimensional $U(1)_{L_\mu - L_\tau}$ Model at Future Muon-Based Colliders
Future muon colliders can probe Kaluza-Klein excitations of a 5D U(1)_{Lμ-Lτ} gauge boson across MeV to TeV masses with couplings down to 10^{-5}.
-
The anomalous magnetic moment of the muon in the Standard Model: an update
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
-
Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point
Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.
-
Study of electron-positron annihilation into four pions within chiral effective field theory in the low energy region
Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.
-
Prospects of five-dimensional $L_\mu-L_\tau$ gauge interactions in the light of elastic neutrino-electron scatterings: The scope of the DUNE near detector
Five-dimensional U(1)_{Lμ-Lτ} model predicts multiple gauge bosons whose contributions to elastic neutrino-electron scattering can be probed at DUNE, covering much of the muon (g-2) consistent parameter space.
-
Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%
Lattice QCD on finer grids yields a_μ^LO-HVP = 715.1(3.4)×10^{-10}, producing a standard-model prediction for a_μ that differs from experiment by only 0.5 sigma.
-
FLAG Review 2024
The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.
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