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Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
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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 $a_\mu^{\rm{HLbL,S}}=-9(2)\cdot 10^{-11}$. This number is in very good agreement with the most recent determinations from dispersive analyses.
Forward citations
Cited by 3 Pith papers
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Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Long-distance and full light-quark connected contribution
The light-quark connected hadronic vacuum polarization contribution to muon g-2 is determined to 0.69% precision, 655.2(4.5) x 10^-10, from lattice QCD.
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Superconnections in AdS/QCD and the hadronic light-by-light contribution to the muon $g-2$
A scalar-extended Chern-Simons superconnection in hard-wall AdS/QCD improves f1-f1' mixing and photon rates while leaving the combined axial-vector plus excited-pseudoscalar HLBL contribution to muon g-2 stable near 32e-11.
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Constraints on the hadronic light-by-light tensor in corner kinematics for the muon $g-2$
In corner kinematics, the hadronic light-by-light tensor including gluonic corrections reduces at the studied order to a compact integrand depending only on axial-current form factors.
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