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In our previous work \cite{Feng:2013pba}, we have shown a curvaton modelwhere the curvaton has a nonminimal derivative coupling to gravity. Such acoupling could bring us scale-invariance of the perturbations for wide rangeconstant values of the equation-of-state of the cosmic background at the earlytime. In this paper, we continue our study by fully analyzing its perturbationsup to the third order. Apart from the usual 2-point correlation function thathas already been calculated in \cite{Feng:2013pba}, we have also taken intoaccount the 3-point correlation functions including pure scalar part, puretensor part, as well as the cross-correlations between scalar and tensorperturbation modes. We find that for pure scalar part, the 3-point correlationfunctions can generate non-Gaussianities that fits the PLANCK data very well.For pure tensor and mixed parts, the shape functions have peaks at squeezed andequilateral limits respectively, responsible for sizable $f_{NL}^{sqz}$ and$f_{NL}^{eql}$, which could be tested by the future observatioanl data.

Curvaton with Nonminimal Derivative Coupling to Gravity II: Full Perturbation Analysis