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We calculate the dominant contributions to the muon g-2 at the two-loop level due to a generic pseudoscalar boson that may exist in any exotic Higgs sector in most extensions of the standard model. The leading effect comes from diagrams of the Barr-Zee type. A sufficiently light pseudoscalar Higgs boson can give rise to contribution as large as the electroweak contribution which is measurable in the next round of g-2 experiment. Through the contribution we calculated here, the anticipateddoi:10.1103/physrevd.63.091301 fatcat:ugx4x3i65jfzpmznuxaynhl3pu