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Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1)_A$ problem

Josef LeutgebJonas MagerAnton Rebhan
Nov 2022
摘要
We employ the comparatively minimal extension of hard-wall AdS/QCD due toKatz and Schwartz, which takes into account the U(1)$_A$ anomaly for computinghadronic light-by-light scattering contributions of pseudoscalar and axialvector mesons to the anomalous magnetic moment of the muon $a_\mu$. Byincluding a gluon condensate as one extra tunable parameter besides those fixedby $f_\pi$ and the pion, kaon, and rho masses, we obtain remarkably accuratefits for $\eta$ and $\eta'$ masses and their decay rates to photons, leading to$a_\mu$ contributions in complete agreement with the Standard Model result bythe Muon $g-2$ Theory Initiative. Turning to the less well understood axialvector contributions, we update our previous predictions obtained inflavor-symmetric hard-wall AdS/QCD models without U(1)$_A$ breaking.
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