Chiral dynamics and S-wave contributions in ${\bar{B}}^0/D^0\to {\pi }^{\pm }\eta l^{\mp }\nu$ decays

Abstract

In this work, we analyze the semi-leptonic decays ${\bar{B}}^0/D^0\to (a_0(980{)}^{\pm }\to {\pi }^{\pm }\eta )l^{\mp }\nu$ within light-cone sum rules. The two and three-body light-cone distribution amplitudes (LCDAs) of the $B$ meson and the only available two-body LCDA of the $D$ meson are used. To include the finite-width effect of the $a_0(980)$, we use a scalar form factor to describe the final-state interaction between the $\pi \eta$ mesons, which was previously calculated within unitarized Chiral Perturbation Theory. The result for the decay branching fraction of the $D^0$ decay is in good agreement with that measured by the BESIII Collaboration, while the branching fraction of the ${\bar{B}}^0$ decay can be tested in future experiments.

arXiv comment19 pages, 5 figures

References in corpus (45)

• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Evidence that the a0(980) and f0(980) are not elementary particles
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• A new look at scalar mesons
• Asymptotics of Heavy-Meson Form Factors
• Is $f_0(1500)$ a Scalar Glueball?
• On the nature of light scalar mesons from their large $N_c$ behavior
• A Theory of Scalar Mesons
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• EVIDENCE FOR A SCALAR GLUEBALL
• QCD Sum Rules, a Modern Perspective
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Next--to--Leading Order Corrections to Meson Masses in the Heavy Quark Effective Theory
• $K_{l4}$ - Decays Beyond One Loop
• Decay constants of heavy-light vector mesons from QCD sum rules
• The $B(B_s)\to D_{(s)}P$, $D_{(s)}V$, $D_{(s)}^{\ast }P$ and $D_{(s)}^{\ast }V$ decays in the perturbative QCD approach
• Flatte-like distributions and the a_0(980)/f_0(980) mesons
• The new analysis of the KLOE data on the phi->eta pi0 gamma decay
• Production of scalar $K\bar{K}$ molecules in $\varphi$ radiative decays
• Higher-twist B-meson Distribution Amplitudes in HQET
• Revisiting charmless hadronic B decays to scalar mesons
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• QCD Sum Rules for Exclusive Decays of Heavy Mesons
• Disentangling the Decay Observables in $B^{-}\to {\pi }^{+}{\pi }^{-}{\ell }^{-}{\bar{\nu }}_{\ell }$
• $B\to \pi \pi$ Form Factors from Light-Cone Sum Rules with $B$-meson Distribution Amplitudes
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Chiral Dynamics and S-wave Contributions in Semileptonic B decays
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• Observation of the Semileptonic Decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ and Evidence for $D^{+}\to a_0(980{)}^0{e}^{+}{\nu }_e$
• $B_{(s)}\to S$ transitions in the light cone sum rules with the chiral current
• Semileptonic Decays of Charmed Mesons to Light Scalar Mesons
• Further evidence for a large glue component in the f0(1500) meson
• ${\bar{B}}_s\to f_0(980)$ form factors and the width effect from light-cone sum rules
• Form factors of the B-S-transitions in the covariant quark model
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• $B_c(B)\to Dl\tilde{\nu }$ form factors in Light-Cone Sum Rules and the $D$-meson distribution amplitude
• Study of $\mathbf{D}\to {\mathbf{a}}_0(980){\mathbf{e}}^{+}{\mathbf{\nu }}_{\mathbf{e}}$ decay in the light-cone sum rules approach
• Chiral dynamics, S-wave contributions and angular analysis in $D\to \pi \pi \ell \bar{\nu }$
• Structure of Light Scalar Mesons from D_s and D^0 Non-Leptonic Decays
• Test of semi-local duality in a large $N_C$ framework
• The perturbative QCD predictions for the decay B^{0}_{s}\rightarrow SS(a_{0}(980),f_{0}(980),f_{0}(500))
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach

Cited by in corpus (3)

• Semileptonic decays $D\to \eta \pi e^{+}{\nu }_e$ in the $a_0(980)$ region
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances