Abstract
After a brief introduction on ongoing experimental and theoretical activities
on \$(g-2)\_\mu\$, we report on recent progress in approaching the calculation of
the hadronic light-by-light contribution with dispersive methods. General
properties of the four-point function of the electromagnetic current in QCD,
its Lorentz decomposition and dispersive representation are discussed. On this
basis a numerical estimate for the pion box contribution and its rescattering
corrections is obtained. We conclude with an outlook for this approach to the
calculation of hadronic light-by-light.
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