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We analyze the $B\to K_2^*(\to K\pi)l^+l^-$ (with $l=e,\mu,\tau$) decay inthe standard model and two new physics scenarios: vector-like quark model andfamily non-universal $Z'$ model. We derive its differential angulardistributions, using the recently calculated form factors in the perturbativeQCD approach. Branching ratios, polarizations, forward-backward asymmetries andtransversity amplitudes are predicted, from which we find a promisingprospective to observe this channel on the future experiment. We also updatethe constraints on effective Wilson coefficients and/or free parameters inthese two new physics scenarios by making use of the experimental data of $B\toK^*l^+l^-$ and $b\to sl^+l^-$. Their impact on $B\to K_2^*l^+l^-$ issubsequently explored and in particular the zero-crossing point for theforward-backward asymmetry in these new physics scenarios can sizably deviatefrom the SM scenario. In addition we also generalize the analysis to a similarmode $B_s\to f_2'(1525)(\to K^+K^-) l^+l^-$.

Branching ratios, forward-backward asymmetries and angular distributions of $B\to K_2^*l^+l^-$ in the standard model and new physics scenarios