Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem

Abstract

We employ the comparatively minimal extension of hard-wall AdS/QCD due to Katz and Schwartz which takes into account the U(1)${}_A$ anomaly for computing hadronic light-by-light scattering contributions of pseudoscalar and axial vector mesons to the anomalous magnetic moment of the muon $a_{\mu }$. By including a gluon condensate as one extra tunable parameter besides those fixed by $f_{\pi }$ and the pion, kaon, and rho masses, we obtain remarkably accurate fits for $\eta$ and ${\eta }^{\prime }$ masses and their decay rates to photons, leading to $a_{\mu }$ contributions in complete agreement with the Standard Model result by the Muon $g-2$ Theory Initiative. Turning to the less well understood axial vector contributions, we update our previous predictions obtained in flavor-symmetric hard-wall AdS/QCD models without U(1)${}_A$ breaking.

arXiv commentREVTEX, 13 pages, 4 figures, 4 tables; v2: slight extensions and updates of numerical results, minor additions, references added

References in corpus (68)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• 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
• QCD and a Holographic Model of Hadrons
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Chiral symmetry breaking from five dimensional spaces
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• 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
• FLAG Review 2021
• 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 $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Remarks on higher-order hadronic corrections to the muon g-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
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
• Chiral symmetry breaking as open string tachyon condensation
• Single meson contributions to the muon's anomalous magnetic moment
• Comment on the Pion Pole Part of the Light-by-Light Contribution to the Muon $g-2$
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Study of the eta-eta' system in the two mixing angle scheme
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Next-to-next-to-leading order prediction for the photon-to-pion transition form factor
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• The discontinuities of conformal transitions and mass spectra of V-QCD
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• Light-by-light scattering sum rules constraining meson transition form factors
• f_1(1285) Formation in Two-Photon Collisions at LEP
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• Asymptotic behavior of meson transition form factors
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
• The hadronic light by light contribution to the $(g-2{)}_{\mu }$ with holographic models of QCD
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Phenomenological evidence for the energy dependence of the $\eta -{\eta }^{\prime }$ mixing angle
• Strange mesons and kaon-to-pion transition form factors from holography
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Massive Pions, Anomalies and Baryons in Holographic QCD
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• An Eta Primer: Solving the U(1) Problem with AdS/QCD
• Constraints on the $\eta {\eta }^{\prime }$ decay rate of a scalar glueball from gauge/gravity duality
• Measurement of the ${\gamma }^{\star }{\gamma }^{\star }\to {\eta }^{\prime }$ transition form factor
• Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
• Euclidean Correlation Functions in a Holographic Model of QCD
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model
• Hadronic vacuum polarization contribution to the muon $g-2$ in holographic QCD

Cited by in corpus (25)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• 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
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Dispersion relations for the hadronic VVA correlator
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• 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
• Holographic QCD Running Coupling Constant from the Ricci Flow
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains
• Divergences in the hadronic light-by-light amplitude of the holographic soft-wall model
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron