$B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$

Abstract

We compute the $B_s\to f_0(980)$ transition form factors using light-cone QCD sum rules at leading order in the strong coupling constant, and also including an estimate of next-to-leading order corrections. We use the results to predict the branching fractions of the rare decay modes $B_s\to f_0{\ell }^{+}{\ell }^{-}$ and $B_s\to f_0\nu \bar{\nu }$, which turn out to be $\mathcal{O}(10^{-7})$ ($B_s\to f_0(980){\ell }^{+}{\ell }^{-}$, with $\ell =e,\mu$), $\mathcal{O}(10^{-8})$ ($B_s\to f_0(980){\tau }^{+}{\tau }^{-}$) and $\mathcal{O}(10^{-6})$($B_s\to f_0(980)\nu \bar{\nu }$). We also predict the branching ratio of $B_s\to J/\psi f_0(980)$ decay under the factorization assumption, and discuss the role of this channel for the determination of the $B_s$ mixing phase compared to the golden mode $B_s\to J/\psi \varphi$. As a last application, we consider $D_s\to f_0$ form factors, providing a determination of the branching ratio of $D_s\to f_0{e}^{+}{\nu }_e$.

11 pages, 5 figures

References in corpus (10)

• Measurement of $\boldmath {B_s^0}$ mixing parameters from the flavor-tagged decay
• Neutral B Meson Mixing in Unquenched Lattice QCD
• Light-cone sum rules for $B\to \pi$ form factors revisited
• $B\to S$ Transition Form Factors in the PQCD approach
• The Scalar Meson f0(980) in Heavy-Meson Decays
• B -> chi_cJ K decays revisited
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• FCNC $B_s$ and ${\Lambda }_b$ transitions: Standard Model versus a single Universal Extra Dimension scenario
• Rare $B_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states

Cited by in corpus (33)

• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\beta }_s$
• $B^0$ and $B_s^0$ decays into $J/\psi$ plus a scalar or vector meson
• Scalar resonance effects on the B_s - \bar B_s mixing angle
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• Branching Fractions and CP Asymmetries of the Quasi-Two-Body Decays in $B_s\to K^0({\overline{K}}^0)K^{\pm }{\pi }^{\mp }$ within PQCD Approach
• Form factors of the B-S-transitions in the covariant quark model
• The time-dependent angular analysis of $B_d\to K_S\ell \ell$, a new benchmark for new physics
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach
• Study of $\mathbf{D}\to {\mathbf{a}}_0(980){\mathbf{e}}^{+}{\mathbf{\nu }}_{\mathbf{e}}$ decay in the light-cone sum rules approach
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• $B-S$ transition form-factors with the light-cone QCD sum rules
• Recent Developments on the CKM Matrix
• To understand the rare decay $B_s\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$
• Study of the $f_0(980)$ and $f_0(500)$ Scalar Mesons through the Decay $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
• New Physics in $b\to s\ell \ell$ anomalies and its implications for the complementary neutral current decays
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Analysis of the electromagnetic form factors and the radiative decays of the vector heavy-light mesons
• Study of some B_s to f_0(980) decays in the fourth generation model
• Determining the effective Wilson coefficient $a_2$ in terms of $BR(B_s\to {\eta }_c\varphi )$ and evaluating $BR(B_s\to {\eta }_c{f}_0(980))$
• Measurements of the branching fractions of semileptonic $D_s^{+}$ decays via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Observation of $D^{+}\to f_0(500){\mu }^{+}{\nu }_{\mu }$ and study of $D^{+}\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\nu }_{\ell }$ decay dynamics
• Investigating $B_s$ three-body decays to scalar mesons in perturbative QCD approach
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach
• Form factors of $B_{(s)}$ to light scalar mesons with the $B$-meson LCSR
• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules
• $B_s\to f_0(980)$ decays: Results from light-cone QCD Sum Rules
• Rescattering-induced $D\to SS$ weak decays
• Instanton effects on the twist-three light-cone distribution amplitudes of pion and light scalar mesons above 1GeV
• Study of Form Factors and Observables in $B_c^{-}\to {\bar{D}}^{(\ast )0}{\ell }^{-}{\bar{\nu }}_{\ell }$ and $B_c^{-}\to D^{(\ast )-}{\ell }^{+}{\ell }^{-}$ decays