Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon $g-2$

Abstract

The pseudoscalar pole contribution is the dominant source of the $\mathcal{O}({\alpha }^3)$ hadronic light-by-light scattering effect in muon $g-2$. We have examined this contribution taking account of the off-shell structure of the pseudoscalar-photon-photon anomaly vertex deduced from available experimental data. Our work leads to an improved estimate, $-79.2(15.4)\times 10^{-11}$, for the total hadronic light-by-light scattering contribution to the muon $g-2$.

Comments: 43 pages, Revtex, four figures, cited values of hadronic vacuum polarization contributions and the references are up-dated, to appear in Phys. Rev. D