Hadronic Light-by-light Scattering Effect on Muon g-2

Abstract

The hadronic light-by-light scattering contribution to muon $g-2$ is examined using low energy effective theories of QCD, the Nambu-Jona-Lasinio model and hidden local chiral symmetry, as guides. Our result is $-36\times 10^{-11}$ with an uncertainty of $\pm 16\times 10^{-11}$, which includes our best estimate of model dependence. This is within the expected measurement uncertainty of $40\times 10^{-11}$ in the forthcoming experiment at Brookhaven National Laboratory. Our result removes one of the main theoretical obstacles in verifying the existence of the weak contribution to the muon $g-2$.

Revtex, 11 pages plus two uuencoded figures

References in corpus (1)

• The hadronic vacuum polarization contribution to the muon g-2 in the quark-resonance model

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