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The magnetic polarisability of the neutral pion has been calculated using thebackground field method in lattice QCD. These early results do not consider theeffect of the disconnected loop contractions arising from the breaking ofcharge symmetry in a background magnetic field. Recent work in chiralperturbation theory has shown that these quark-self-annihilation contractionsprovide the leading loop-order contributions to the magnetic polarisability. Afirst investigation of these contractions in a background magnetic field ispresented.

Disconnected contributions to the magnetic polarisability of the neutral pion