Several parametrization dark energy models comparison with Statefinder hierarchy

Abstract

We employ the Statefinder hierarchy and the growth rate of matter perturbations to explore the discrimination of and some parametrization dark energy models including the Chevallier-Polarski-Linder (CPL), the Jassal-Bagla-Padmanabhan (JBP), the Pad\'e(1), (2). We find that the statefinder S3(m) containing third derivatives of a(t) can differentiate CPL and JBP from and Pad\'e(1), (2). While the statefinder S4(1) involving fourth order derivatives of a(t) has more powerful discrimination that it can distinguish the Pad\'e(1), (2) from . In addition, we show that the growth rate of matter perturbations does not play a significant role for discrimination of such parametrization dark energy models.

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