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We investigate the possibility of testing of the Einstein EquivalencePrinciple (EEP) using measurements of anomalous magnetic moments of elementaryparticles. We compute the one loop correction for the $g-2$ anomaly within theclass of non metric theories of gravity described by the \tmu formalism. Wefind several novel mechanisms for breaking the EEP whose origin is due purelyto radiative corrections. We discuss the possibilities of setting new empiricalconstraints on these effects.Comment: 26 pages, latex, epsf, 1 figure, final version which appears in  Physical Review

Equivalence principle and anomalous magnetic moment experiments