Hadronic ligh-by-light contribution to the anomalous magnetic moment of the muon: The role of scalar resonances in a holographic model of QCD

Abstract

We review the evaluation of scalar mesons contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment, using a holographic model of QCD.We evaluate the contributions of the lightest, sub-GeV scalars σ(500), a0(980) and f0(980) and their associated towers of excited states. Our results point at a negative contribution, overwhelmingly dominated by the σ(500) meson, that we estimate at aμHLbL,S aμHLbL,S = -9(2)·10-11, in very good agreement with recent determinations from dispersive analyses.