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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