Article,

Hadronic Light-by-Light Contribution to Muon g-2 in Chiral Perturbation Theory

, and .
Physical Review Letters, (May 3, 2002)
DOI: 10.1103/physrevlett.89.041601

Abstract

We compute the hadronic light-by-light scattering contributions to the muon anomalous magnetic moment, \$\amulbl\$, in chiral perturbation theory that are enhanced by large logarithms and a factor of \$N\_C\$. They depend on a low-energy constant entering pseudoscalar meson decay into a charged lepton pair. The uncertainty introduced by this constant is \$6010^-11\$, which is comparable in magnitude to the present uncertainty entering the leading-order vacuum polarization contributions to the anomalous moment. It may be reduced to some extent through an improved measurement of the \$\pi^0e^+ e^-\$ branching ratio. However, the dependence of \$\amulbl\$ on non-logarithmically enhanced effects cannot be constrained except through the measurement of the anomalous moment itself. The extraction of information on new physics would require a future experimental value for the anomalous moment differing significantly from the 2001 result reported by the E821 collaboration.

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