The PandaX-4T experiment, a four-ton scale dark matter direct detection experiment, is being planned at the China Jinping Underground Laboratory. In this paper we present a simulation study of the expected background in this experiment. In a 2.8-ton fiducial mass and the signal region between 1 to 10 keV electron equivalent energy, the total electron recoil background is found to be 4.9 · 10 −5 (kg · day · keV) −1 . The nuclear recoil background in the same region is 2.8 · 10 −7 (kg · day · keV) −1 . With an exposure of 5.6 ton-years, the sensitivity of PandaX-4T could reach a minimum spin-independent dark matter-nucleon cross section of 6 · 10 −48 cm 2 at a dark matter mass of 40 GeV/c 2 .

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