Semileptonic decays B/Bₛ → (η,, G)(l+l-,lν,νν) in the perturbative QCD approach beyond the leading order

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In this paper we make a systematic study of the semileptonic decays B/Bₛ → (η,, G)(l+l-,lν,νν) by employing the perturbative QCD (pQCD) factorization approach. The next-to-leading-order (NLO) contributions to the relevant form factors are included, and the ordinary η- mixing scheme and the η--G mixing scheme are considered separately, where G denotes a pseudoscalar glueball. The numerical results and the phenomenological analysis indicate that (a) the NLO contributions to the relevant form factors provide 25% enhancement to the leading-order pQCD predictions for the branching ratios Br(B-→ η⁽'⁾ l-νₗ), leading to a good agreement between the predictions and the data; (b) for all considered decays, the pQCD results are basically consistent with those from other different theoretical models; (c) the pQCD predictions in the two considered mixing schemes agree well with each other within theoretical errors. The outcomes presented here can be tested by LHCb and forthcoming Super-B experiments.