Exclusive rare $B_s\to (K,\eta ,{\eta }^{\prime }){\ell }^{+}{\ell }^{-}$ decays in the light-front quark model

Abstract

Using the light-front quark model, we calculate the transition form factors, decay rates, and longitudinal lepton polarization asymmetries for the exclusive rare $B_s\to (K,{\eta }^{(\prime )})({\ell }^{+}{\ell }^{-},{\nu }_{\ell }\overline{{\nu }_{\ell }}$ ($\ell =e,\mu ,\tau$) decays within the standard model, taking into account the $\eta -{\eta }^{\prime }$ mixing angle. For the mixing angle $\theta =-20^{\circ }$ ($-10^{\circ }$) in the octet-singlet basis, we obtain $\mathrm{BR}(B_s\to \eta \sum {\nu }_{\ell }{\bar{\nu }}_{\ell })=1.1(1.7)\times 10^{-6}$, $\mathrm{BR}(B_s\to \eta {\mu }^{+}{\mu }^{-})=1.5(2.4)\times 10^{-7}$, $\mathrm{BR}(B_s\to \eta {\tau }^{+}{\tau }^{-})=3.8(5.8)\times 10^{-8}$, $\mathrm{BR}(B_s\to {\eta }^{\prime }\sum {\nu }_{\ell }{\bar{\nu }}_{\ell })=1.8(1.3)\times 10^{-6}$, $\mathrm{BR}(B_s\to {\eta }^{\prime }{\mu }^{+}{\mu }^{-})=2.4(1.8)\times 10^{-7}$, and $\mathrm{BR}(B_s\to {\eta }^{\prime }{\tau }^{+}{\tau }^{-})=3.4(2.6)\times 10^{-8}$, respectively. The branching ratios for the $B_s\to K({\nu }_{\ell }\overline{{\nu }_{\ell }},{\ell }^{+}{\ell }^{-})$ decays are at least an order of magnitude smaller than those for the $B_s\to {\eta }^{(\prime )}({\nu }_{\ell }\overline{{\nu }_{\ell }},{\ell }^{+}{\ell }^{-})$ decays. The averaged values of the lepton polarization asymmetries for $B_s\to (K,{\eta }^{(\prime )}){\ell }^{+}{\ell }^{-}$ are obtained as $\la P^K_L\ra_μ=\la P^η_L\ra_μ=\la P^{η'}_L\ra_μ=-0.98$, $\la P^K_L\ra_τ=-0.24$, $\la P^η_L\ra_τ=-0.20$ and $\la P^{η'}_L\ra_τ=-0.14$, respectively.

20 pages, 6 figures, minor revision. version to appear in Journal of Physics G

References in corpus (9)

• Measurement of $\boldmath {B_s^0}$ mixing parameters from the flavor-tagged decay
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Lifetime Difference and CP-Violating Phase in the B_s^0 System
• Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach
• Rare $B_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states
• Light-front quark model analysis of the exclusive rare $B_c\to D_{(s)}({\ell }^{+}{\ell }^{-},{\nu }_{\ell }{\bar{\nu }}_{\ell })$ decays
• Space- and time-like form factors for $\omega \to \pi {\gamma }^{\ast }$ and $K^{\ast }\to K{\gamma }^{\ast }$ in light-front quark model

Cited by in corpus (10)

• Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules
• Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factors
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Form factors of $V^{\prime }\to V^{\prime \prime }$ transition within the light-front quark models
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Exclusive $D_s\to (\eta ,{\eta }^{\prime })l\nu$ decays in light cone QCD
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Rare Semileptonic $B_s$ Decays to $\eta$ and ${\eta }^{\prime }$ mesons in QCD