Rare Semileptonic $B_s$ Decays to $\eta$ and ${\eta }^{\prime }$ mesons in QCD

Abstract

We analyze the rare semileptonic $B_s\to (\eta ,{\eta }^{\prime })l^{+}{l}^{-}$, $(l=e,\mu ,\tau )$ and $B_s\to (\eta ,{\eta }^{\prime })\nu \bar{\nu }$ transitions probing the $\bar{s}s$ content of the $\eta$ and ${\eta }^{\prime }$ mesons via three--point QCD sum rules. We calculate responsible form factors for these transitions in full theory. Using the obtained form factors, we also estimate the related branching fractions and longitudinal lepton polarization asymmetries. Our results are in a good consistency with the predictions of the other existing nonperturbative approaches.

arXiv comment28 Pages, 15 Figures and 5 Tables

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Cited by in corpus (5)

• Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Rare $B_s$ decays in the relativistic quark model
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• The semileptonic decays of $B/B_s$ meson in the perturbative QCD approach: A short review