Generalizing thawing dark energy models: the standard vis-\`a-vis model independent diagnostics

We propose a two parameter generalization for the dark energy equation of state (EOS) $w_X$ for thawing dark energy models which includes PNGB, CPL and Algebraic thawing models as limiting cases and confront our model with the latest observational data namely SNe Ia, OHD, CMB, BOSS data. Our analysis reveals that the phantom type of thawing dark energy is favoured upto $2 \sigma$ confidence level. These results also show that thawing dark energy EOS is not unique from observational point of view. Though different thawing dark energy models are not distinguishable from each other from best-fit values (upto $2\sigma$ C.L.s) of matter density parameter ($\Omega_m^0$) and hubble parameter ($H_0$) at present epoch, best-fit plots of linear growth of matter perturbation ($f$) and average deceleration parameter ($q_{\rm av}$); the difference indeed reflects in best-fit variations of thawing dark energy EOS, model-independent geometrical diagnostics like the statefinder pair $\{r,s\}$ and $Om3$ parameter. We are thus led to the conclusion that unlike the standard observables ($\Omega_m^0$, $H_0$, $f$, $q_{\rm av}$), the model-independent parameters ($r,s,Om3$) and the variations of EOS (in terms of $w_X-w_X'$ plots) serve as model discriminators for thawing dark energy models.