Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation

Abstract

We compute the hadronic light-by-light scattering contribution to the muon $g-2$ from the up, down, and strange-quark sector directly using lattice QCD. Our calculation features evaluations of all possible Wick-contractions of the relevant hadronic four-point function and incorporates several different pion masses, volumes, and lattice-spacings. We obtain a value of $a_{\mu }^{\text{Hlbl}}=106.8(14.7)\times 10^{-11}$ (adding statistical and systematic errors in quadrature), which is consistent with current phenomenological estimates and a previous lattice determination. It now appears conclusive that the hadronic light-by-light contribution cannot explain the current tension between theory and experiment for the muon $g-2$.

arXiv comment42 pages, 21 figures

References in corpus (61)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• The Chroma Software System for Lattice QCD
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Large N_c in chiral perturbation theory
• Partially Quenched Gauge Theories and a Application to Staggered Fermions
• Lattice QCD with open boundary conditions and twisted-mass reweighting
• Effective noise reduction techniques for disconnected loops in Lattice QCD
• A new class of variance reduction techniques using lattice symmetries
• Decay width of light quark hybrid meson from the lattice
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Setting the scale for the CLS $2+1$ flavor ensembles
• Single meson contributions to the muon's anomalous magnetic moment
• Light-by-light scattering sum rules in light of new data
• Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Consistency of hadronic vacuum polarization between lattice QCD and the R-ratio
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Kaon-box contribution to the anomalous magnetic moment of the muon
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• Local coherence and deflation of the low quark modes in lattice QCD
• Hadronic light-by-light scattering in the muon g-2: a new short-distance constraint on pion exchange
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• Improvement of N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• High-precision calculation of the strange nucleon electromagnetic form factors
• 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
• The eta' meson from lattice QCD
• Quark disconnected diagrams in chiral perturbation theory
• Pion light-by-light contributions to the muon $g-2$
• Frequency-splitting estimators of single-propagator traces
• Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD with SU(3) flavor symmetry
• Exploratory studies for the position-space approach to hadronic light-by-light scattering in the muon $g-2$

Cited by in corpus (63)

• 50 Years of Quantum Chromodynamics
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Kaon electromagnetic form factors in dispersion theory
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Unveiling Hidden Physics at the LHC
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• Singlet extensions and W boson mass in the light of the CDF II result
• Muon $g-2$: A review
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Challenges for an axion explanation of the muon $g-2$ measurement
• Systematically Testing Singlet Models for $(g-2{)}_{\mu }$
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Isospin-breaking effects in the three-pion contribution to hadronic vacuum polarization
• An optimized basis for hadronic light-by-light scattering
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• NNLO virtual and real leptonic corrections to muon-electron scattering
• The $\gamma \pi \to \pi \pi$ anomaly from lattice QCD and dispersion relations
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Chiral extrapolation of hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Dispersion relations for the hadronic VVA correlator
• Holographic QCD and the muon anomalous magnetic moment
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Muon $(g-2)$ in the B-LSSM
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Supersymmetric explanation of the muon g-2 anomaly with and without stable neutralino
• Radiative lepton mass and muon $g-2$ with suppressed lepton flavor and CP violations
• Phenomenology of CP-even ALP
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
• New Searches for Muonphilic Particles at Proton Beam Dump Spectrometers
• The $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factor and the hadronic light-by-light $\eta$-pole contribution to the muon $g-2$ from lattice QCD
• Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• Improved evaluation of the electroweak contribution to muon $g-2$
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Signals of a New Gauge Boson from IceCube and Muon $g-2$
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• A fully non-perturbative charm-quark tuning using machine learning
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
• Prospects for ${\gamma }^{\star }{\gamma }^{\star }\to \pi \pi$ via lattice QCD
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• FIMP DM in the Extended Hyperchargeless Higgs Triplet Model
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models