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In this paper, we have considered a spatially flat FRW universe filled withpressureless matter and dark energy. We have considered a phenomenologicalparametrization of the deceleration parameter $q(z)$ and from this we havereconstructed the equation of state for dark energy $\omega_{\phi}(z)$. Thisdivergence free parametrization of the deceleration parameter is inspired fromone of the most popular parametrization of the dark energy equation of stategiven by Barboza and Alcaniz. Using the combination of datasets (SN Ia $+$Hubble $+$ BAO/CMB), we have constrained the transition redshift $z_{t}$ (atwhich the universe switches from a decelerating to an accelerating phase) andhave found the best fit value of $z_{t}$. We have also compared thereconstructed results of $q(z)$ and $\omega_{\phi}(z)$ and have found that theresults are compatible with a $\Lambda$CDM universe if we consider SN Ia $+$Hubble data but inclusion of BAO/CMB data makes $q(z)$ and $\omega_{\phi}(z)$incompatible with $\Lambda$CDM model. The potential term for the present toymodel is found to be functionally similar to a Higgs potential.

A divergence free parametrization of deceleration parameter for scalar field dark energy