Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model

Abstract

We compute the light axial-vector and tensor meson two-photon transition form factors in the soft-wall holographic model of QCD in the flavor-symmetric case. They are used to evaluate the axial-vector and tensor meson contributions to the anomalous magnetic moment of the muon via the hadronic light-by-light scattering process. As expected, these contributions are smaller than the one from pseudoscalar mesons. The result for axial-vector mesons is higher than the value found in other approaches.

21 pages, 5 figures, matches published version

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Cited by in corpus (8)

• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• 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
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Improved evaluation of the electroweak contribution to muon $g-2$
• 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