Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD

Abstract

We have performed a holographic calculation of the hadronic contributions to the anomalous magnetic moment of the muon, using the gauge/gravity duality. We study a model of holographic QCD in the five dimensional AdS background with a hard-wall cutoff. Both 5D SU(2) and U(3) flavor gauge symmetries are considered for the neutral pion, eta and eta' contributions to the hadronic corrections. We find the total light-by-light contributions of pseudo scalars to the muon anomalous magnetic moment, a_mu=10.7 x 10^(-10), which is consistent with previous estimates, based on other approaches.

arXiv commentv3. 13 pages, 6 figures, slightly expanded and reorganized for clarity

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• ηand η' transition form factors from rational approximants
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• Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD
• Holographic QCD and the muon anomalous magnetic moment
• Hadronic light-by-light contribution to $a_{\mu }$: extended Nambu-Jona-Lasinio, chiral quark models and chiral Lagrangians
• 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 contribution to the muon g-2
• Vacuum polarization contribution to muon $g-2$ as an inverse problem
• Overview of the hadronic light-by-light contribution to the muon (g-2)
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• On the Hadronic light-by-light contribution to the muon $g-2$
• Subleading hadronic vacuum polarization contributions to muon $g-2$: ${\mu }^{+}{\mu }^{-}\to {\gamma }^{\ast }\to {\pi }^0{\gamma }^{\ast }$