Ballpark prediction for the hadronic light-by-light contribution to the muon (g-2)_μ

Abstract

Using the momentum dependence of the dressed quark mass and the well-known formulae for the mass dependent quark-loop contribution to the light-by-light scattering insertions, we compute the hadronic light-by-light contribution to the muon anomalous magnetic moment. The relevant momentum running in the quark loop is calculated from the ${\pi }^0$ exchange contribution to the light- by-light scattering. Special emphasis on the reconstruction of the pseudoscalar transition form factor is made, and the ${\pi }^0$ contribution to the hadronic light-by-light is, as well, updated.

9 pages, 5 figures

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Cited by in corpus (11)

• The anomalous magnetic moment of the muon in the Standard Model
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• $\eta$ and ${\eta }^{\prime }$ decays into lepton pairs
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• Hadronic light-by-light contribution to the muon g-2