Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$

Abstract

We evaluate the contribution of scalar mesons to the hadronic light-by-light piece of the muon anomalous magnetic moment, using a warped five-dimensional model and holographic methods. We assess the contribution of the lightest, sub-GeV scalars $\sigma (500)$, $a_0(980)$ and $f_0(980)$ together with their associated towers of excited states, which the model generates automatically. Our results point at a clearly negative contribution, overwhelmingly dominated by the $\sigma (500)$ meson, that we estimate at $a_{\mu }^{\mathrm{HLbL},\mathrm{S}}=-9(2)\cdot 10^{-11}$. This number is in very good agreement with the most recent determinations from dispersive analyses.

15 pages, 7 figures. Typos corrected and one reference added. This version matches the journal publication

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Cited by in corpus (10)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• 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
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Divergences in the hadronic light-by-light amplitude of the holographic soft-wall model