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

PHYSICAL REVIEW D(2022)

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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)(HLbL,S) = -9(2) x 10(-11). This number is in very good agreement with the most recent determinations from dispersive analyses.
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Key words
scalar resonances,muon,light-by-light
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