Abstract
We consider curvaton models with potentials that depart slightly from the quadratic form.We show that although such a small departure does not significantly modify the Gaussianpart of the curvature perturbation, it can have a pronounced effect on the level ofnon-Gaussianity. We find that unlike in the quadratic case, the limit of smallnon-Gaussianity, , is quite possible even with small curvaton energy density . Furthermore, non-Gaussianity does not imply any strict bounds onr, but the bounds depend on the assumptions about the higher order terms in the curvatonpotential.
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