Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions

Abstract

We extend our previous calculations of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment in holographic QCD to models with finite quark masses and a tower of massive pions. Analysing the role of the latter in the Wess-Zumino-Witten action, we show that the Melnikov-Vainshtein short-distance constraint is satisfied solely by the summation of contributions from the infinite tower of axial vector meson contributions. There is also an enhancement of the asymptotic behavior of pseudoscalar contributions when their infinite tower of excitations is summed, but this leads only to subleading contributions for the short-distance constraints on light-by-light scattering. We also refine our numerical evaluations, particularly in the pion and $a_1$ sector, which corroborates our previous findings of contributions from axial vector mesons that are significantly larger than those adopted for the effects of axials and short-distance constraints in the recent White Paper on the Standard Model prediction for $(g-2{)}_{\mu }$.

28 pages, 10 figures, 4 tables; v2: table IV expanded, reference added

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Cited by in corpus (23)

• 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
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• An optimized basis for hadronic light-by-light scattering
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• 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
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• $\tau$ 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
• 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 $(g-2)$
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Improved evaluation of the electroweak contribution to muon $g-2$
• Axial-vector exchange contribution to the Hyperfine Splitting
• ${\pi }^0,\eta ,{\eta }^{\prime }$ 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
• Hadronic vacuum polarization contribution to the muon $g-2$ in holographic QCD
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Divergences in the hadronic light-by-light amplitude of the holographic soft-wall model
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$