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We present a simple supersymmetric axion model that can naturally explain theorigin of the Higgs mu and Bmu terms in gauge mediation while solving thestrong CP problem. To stabilize the Peccei-Quinn scale, we consider mixingbetween the messenger fields that communicate the supersymmetry andPeccei-Quinn symmetry breaking to the visible sector. Such mixing leads to theradiative stabilization of the Peccei-Quinn scale. In the model, a Higgscoupling to the axion superfield generates the B parameter at the soft massscale while a small mu term is induced after the Peccei-Quinn symmetrybreaking. We also explore the phenomenological and cosmological aspects of themodel, which crucially depend on the saxion and axino interactions with theordinary particles induced by the Higgs coupling to the axion superfield.

Axion model in gauge-mediated supersymmetry breaking and a solution to the mu/Bmu problem