Abstract
As a possible alternative solution for the hierarchy problem in the standard model, Lee-Wick theory where a field has higher derivative kinetic operators has been paid attentions recently. Also in modern cosmology, the observations suggest that the current universe is under accelerating expansion dominated by dark energy. Furthermore, they marginally prefer the dark energy equation of state parameter ω DE to cross the phantom divide -1 at present. Lee-Wick theory has the same structure as so-called quintom model except the form of potentials and the sign of the slope of the potentials. Thus, this model can produce the stable late time phantom-dominated solution and maybe able to explain the current cosmology. However, without fine tuning of its mass we may not be able to produce the viable values of observational quantities in this model.
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