Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$

Abstract

We evaluate the contribution of scalar mesons to the hadronic light-by-light piece of the muon anomalous magnetic moment, using a warped five-dimensional model and holographic methods. We assess the contribution of the lightest, sub-GeV scalars $\sigma (500)$, $a_0(980)$ and $f_0(980)$ together with their associated towers of excited states, which the model generates automatically. Our results point at a clearly negative contribution, overwhelmingly dominated by the $\sigma (500)$ meson, that we estimate at $a_{\mu }^{\mathrm{HLbL},\mathrm{S}}=-9(2)\cdot 10^{-11}$. This number is in very good agreement with the most recent determinations from dispersive analyses.

arXiv comment15 pages, 7 figures. Typos corrected and one reference added. This version matches the journal publication

References in corpus (70)

• Gauge Theory Correlators from Non-Critical String Theory
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Low energy hadron physics in holographic QCD
• AdS/CFT Correspondence and Symmetry Breaking
• 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
• The Muon g-2
• 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
• 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
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Hadronic vacuum polarization: $(g-2{)}_{\mu }$ versus global electroweak fits
• Analysis of the Hadronic Light-by-Light Contributions to the Muon $g-2$
• Towards a data-driven analysis of hadronic light-by-light scattering
• The muon $g$-2 and $\Delta \alpha$ connection
• Light scalar mesons in the soft-wall model of AdS/QCD
• Single meson contributions to the muon's anomalous magnetic moment
• Dispersive approach to hadronic light-by-light scattering
• Interpolating between low and high energy QCD via a 5D Yang-Mills model
• The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
• Light-by-light scattering sum rules in light of new data
• Hadronic Light-by-Light Contribution to the Muon $g-2$
• Constraints on the two-pion contribution to hadronic vacuum polarization
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Kaon-box contribution to the anomalous magnetic moment of the muon
• Roy-Steiner equations for gamma gamma -> pi pi
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• The chiral condensate in holographic models of QCD
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Couplings of light I=0 scalar mesons to simple operators in the complex plane
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Impact of correlations between $a_{\mu }$ and ${\alpha }_{QED}$ on the EW fit
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• 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
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• 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
• Chiral Perturbation Theory, the $1/N_c$ expansion and Regge behaviour determine the structure of the lightest scalar meson
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Massive Pions, Anomalies and Baryons in Holographic QCD
• Compton Scattering on the Charged Pion and the Process γγ\to π^0 π^0
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD
• Scalar-involved three-point Green functions and their phenomenology
• Successes and Failures of a More Comprehensive Hard Wall AdS/QCD

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• The anomalous magnetic moment of the muon in the Standard Model: an update
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Divergences in the hadronic light-by-light amplitude of the holographic soft-wall model