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In this paper we first calculate the form factors of $B \to (\pi,K)$ and $B_s\to K $ transitions by employing the perturbative QCD (pQCD) factorizationapproach with the inclusion of the next-to-leading-order(NLO) corrections, andthen we calculate the branching ratios of the corresponding semileptonic decays$B/B_s \to (\pi, K)(l^+l^-,l\nu,\nu\bar{\nu})$ (here $l$ denotes $e, \mu$ and$\tau$). Based on the numerical calculations and phenomenological analysis, wefound the following results: (a) For $B \to (\pi, K)$ and $B_s \to K$transition form factors $F_{0,+,\rmt}(q^2)$, the NLO pQCD predictions for thevalues of $F_{0,+,\rmt}(0)$ and their $q^2$-dependence agree well with thoseobtained from other methods; (b) For $\bar{B}^0 \to \pi^+l^-\bar{\nu}_l,\bar{K}^0 l^+ l^- $ and $B^- \to \pi^0 l^-\bar{\nu}_l, K^- l^+ l^-$ decaymodes, the NLO pQCD predictions for their branching ratios agree very well withthe measured values; (c) By comparing the pQCD predictions for $Br(\bar{B}^0\to \pi^+l^-\bar{\nu}_l)$ with the measured decay rate we extract out themagnitude of $V_{ub}$: $|V_{ub}|= (3.80^{+0.56}_{-0.50}(theor.)) \times10^{-3}$; (d) We also defined several ratios of the branching ratios, $R_\nu,R_C$ and $R_{N1,N2,N3}$, and presented the corresponding pQCD predictions,which will be tested by LHCb and the forthcoming Super-B experiments.

The semileptonic decays $B/B_s \to (\pi, K)(l^+l^-,l\nu,\nu\bar{\nu})$ in the perturbative QCD approach beyond the leading-order