To understand the rare decay $B_s\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$

Abstract

Motivated by the LHCb measurement, we analyze the $B_s\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decay in the kinematics region where the pion pairs have invariant mass in the range $0.5$-$1.3$ GeV and muon pairs do not originate from a resonance. The scalar ${\pi }^{+}{\pi }^{-}$ form factor induced by the strange $\bar{s}s$ current is predicted by the unitarized approach rooted in the chiral perturbation theory. Using the two-hadron light-cone distribution amplitude, we then can derive the $B_s\to {\pi }^{+}{\pi }^{-}$ transition form factor in the light-cone sum rules approach. Merging these quantities, we present our results for differential decay width which can generally agree with the experimental data. More accurate measurements at the LHC and KEKB in future are helpful to validate our formalism and determine the inputs in this approach.

arXiv comment8 pages, 4 figures; v2: references added, match the published version

References in corpus (36)

• Big-Bang Nucleosynthesis
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Meson-Meson interaction in a non-perturbative chiral approach
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Hard exclusive electroproduction of two pions and their resonances
• B to light meson transition form factors calculated in perturbative QCD approach
• $B\to \pi \rho$, $\pi \omega$ Decays in Perturbative QCD Approach
• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
• Three-body nonleptonic B decays in perturbative QCD
• $B\to S$ Transition Form Factors in the PQCD approach
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Generalized Heavy-to-Light Form Factors in Light-Cone Sum Rules
• Rescattering and chiral dynamics in B\to ρπdecay
• Direct CP asymmetries of three-body $B$ decays in perturbative QCD
• Revisiting charmless hadronic B decays to scalar mesons
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• Probing the structure of $f_0(980)$ through radiative $\varphi$ decays
• Analysis of $B\to K_J^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ in the higher kaon resonance region
• Chiral Dynamics and S-wave Contributions in Semileptonic B decays
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{(\ast )}\mathbf{\ell }\bar{\nu }$, Angular Analysis, S-wave Contributions and $|{\mathbf{V}}_{\mathbf{ub}}|$
• NLO corrections and contribution of a tensor gluon operator to the process ${\gamma }^{\ast }\gamma \to \pi \pi$
• Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B\to S$ transition form factors
• $B_{(s)}\to S$ transitions in the light cone sum rules with the chiral current
• Semi-leptonic B-decays and the two-pion distribution amplitudes
• Recent Developments on the CKM Matrix

Cited by in corpus (9)

• Weak decays of heavy hadrons into dynamically generated resonances
• Investigating the nature of light scalar mesons with semileptonic decays of D mesons
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons
• S-wave contributions in ${\bar{B}}_s^0\to (D^0,{\bar{D}}^0){\pi }^{+}{\pi }^{-}$ within perturbative QCD approach
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Chiral dynamics, S-wave contributions and angular analysis in $D\to \pi \pi \ell \bar{\nu }$
• Two-Meson Form Factors in Unitarized Chiral Perturbation Theory
• Study of the quasi-two-body decays B^{0}_{s} \rightarrow ψ(3770)(ψ(3686))π^+π^- with perturbative QCD approach