${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$

Abstract

We compute the two-photon transition form factors of the light pseudoscalar ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons in a soft-wall holographic model of QCD with a solution of the $U(1{)}_A$ problem. We compare the results with the experimental data in different ranges of photon virtualities. The obtained transition form factors are used to determine the ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ pole terms in the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.

17 pages, 7 figures, published version

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Cited by in corpus (5)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Divergences in the hadronic light-by-light amplitude of the holographic soft-wall model