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In this work we introduce a new set of parameters $(r_{g}, s_{g})$ involvingthe linear growth of matter perturbation that can distinguish and constraindifferent dark energy models very efficiently. Interestingly, for $\Lambda$CDMmodel these parameters take exact value $(1,1)$ at all red shifts whereas formodels different from $\Lambda$CDM, they follow different trajectories in the$(r_{g}, s_{g})$ phase plane. By considering the parametrization for the darkenergy equation of state ($w$) and for the linear growth rate ($f_{g}$), weshow that different dark energy behaviours with similar evolution of the lineardensity contrast, can produce distinguishable trajectories in the $(r_{g},s_{g})$ phase plane. Moreover, one can put stringent constraint on these phaseplane using future measurements like EUCLID ruling out some of the dark energybehaviours.

Growth Diagnostics for Dark Energy models and EUCLID forecast