Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude

Abstract

The twist-2 distribution amplitude of the $\varphi$-meson has attracted considerable interest due to its unique properties. In this work, we construct the transverse leading-twist light-cone distribution amplitude ${\varphi }_{2;\varphi }^{\perp }(x,{\mu }_0)$ of the $\varphi$-meson using the light-cone harmonic oscillator model, in which a parameter $B_{2;\varphi }^{\perp }$ dominantly control its longitudinal distribution. To explicitly isolate different twist contributions, we employ the right-handed chiral correlator for the QCD light-cone sum rules calculation of $D_s^{+}\to \varphi$ decays, and further, we get the branching fraction, $\mathcal{B}(D_s^{+}\to \varphi e^{+}{\nu }_e)=(2.271_{-0.243}^{+0.291})\times 10^{-2}$ and $\mathcal{B}(D_s^{+}\to \varphi {\mu }^{+}{\nu }_{\mu })=(2.250_{-0.240}^{+0.287})\times 10^{-2}$, where errors are squared average of the mentioned error sources. Furthermore, we have extracted the Cabbibo-Kobayashi-Maskawa (CKM) matrix element $|V_{cs}|=0.975_{-0.066}^{+0.067}$ with improved precision through the analysis. Finally, we calculated the polarization parameter and asymmetry parameter for the $D_s^{+}\to \varphi$ decays.

arXiv comment15 pages, 5 figures, matches version published in PRD

References in corpus (76)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• Weak form factors for heavy meson decays: an update
• Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model
• Rho-omega mixing, vector meson dominance and the pion form-factor
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Analysis of the Pion Wave Function in Light-Cone Formalism
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• Measurement of the absolute branching fraction for ${\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e$
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons
• Constraints on the momentum dependence of rho-omega mixing
• Parton distribution amplitudes of light vector mesons
• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• Study of decay dynamics and $CP$ asymmetry in $D^{+}\to K_L^0{e}^{+}{\nu }_e$ decay
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Weak decays of $B_s$ mesons to $D_s$ mesons in the relativistic quark model
• Measurements of branching fractions of leptonic and hadronic Ds+ meson decays and extraction of the Ds+ meson decay constant
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• Improved approach to the heavy-to-light form factors in the light-cone QCD sum
• Omega-phi mixing in chiral perturbation theory
• A Model for the Twist-3 Wave Function of the Pion and Its Contribution to the Pion Form Factor
• Charm meson resonances and D to V semileptonic form factors
• Investigating the nature of light scalar mesons with semileptonic decays of D mesons
• Measurement of the Branching Fraction For the Semi-Leptonic Decays $D^{0(+)}\to {\pi }^{-(0)}{\mu }^{+}{\nu }_{\mu }$ and Test of Lepton Flavor Universality
• Distribution Amplitudes of $K^{\ast }$ and $\varphi$ at Physical Pion Mass from Lattice QCD
• V_cs from D_s to ϕlν semileptonic decay and full lattice QCD
• Study of the $D^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ dynamics and test of lepton flavor universality with $D^0\to K^{-}{\ell }^{+}{\nu }_{\ell }$ decays
• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• Study of the decay Ds+ --> K+ K- e+ nu
• Pion Loop Contribution to Rho-Omega Mixing and Mass Splitting
• Extraction of $|V_{cd}|$ and $|V_{cs}|$ from experimental decay rates using lattice QCD $D\to \pi (K)\ell \nu$ form factors
• Measurements of the branching fractions of the semileptonic decays ${\Xi }_c^0\to {\Xi }^{-}{\ell }^{+}{\nu }_{\ell }$ and the asymmetry parameter of ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}$
• Extracting the rho-omega mixing amplitude from the pion form-factor
• Charmless weak $B_s$ decays in the relativistic quark model
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Form Factors and semileptonic decay of $D_s^{+}\to \varphi \bar{\ell }\nu$ from QCD sum rule
• Measurement of the Dynamics of the Decays $D_s^{+}\to {\eta }^{(\prime )}{e}^{+}{\nu }_e$
• B decays dominated by omega-phi mixing
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• Determination of the pion distribution amplitude
• Effective Chiral Lagrangians with an SU(3)-Broken Vector-Meson Sector
• $D_s$ decays into $\varphi$ and $f_0(980)$ mesons
• Improved $V_{cs}$ determination using precise lattice QCD form factors for $D\to K\ell \nu$
• $\omega$-$\varphi$ mixing and weak annihilation in $D_s$ decays
• An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons
• Isospin Symmetry Breaking within the HLS Model: A Full ($\rho ,\omega ,\varphi$) Mixing Scheme
• First test of Lepton Flavor Universality in the charmed baryon decays ${\Omega }_c^0\to {\Omega }^{-}{\ell }^{+}{\nu }_{\ell }$ using data of the Belle experiment
• First Observation of $D^{+}\to \eta {\mu }^{+}{\nu }_{\mu }$ and Measurement of its Decay Dynamics
• Measurements of the branching fractions for the semi-leptonic decays $D_s^{+}\to \varphi e^{+}{\nu }_e$, $\varphi {\mu }^{+}{\nu }_{\mu }$, $\eta {\mu }^{+}{\nu }_{\mu }$ and ${\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$
• Measurement of the absolute branching fractions for purely leptonic $D_s^{+}$ decays
• The $D\to \rho$ semileptonic and radiative decays within the light-cone sum rules
• Pion Electromagnetic Form Factor in the $K_T$ Factorization Formulae
• Recent developments in rho-omega mixing
• $B\to K^{\ast }$ Transition Form Factors and the Semi-leptonic Decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• New Measurements of the Ds to Phi mu nu Form Factor Ratios
• ${\rho }^0-\omega$ mixing in U(3)}${}_L\times$ U(3)${}_R$ chiral theory of mesons
• First Measurement of the Absolute Branching Fraction of $\Lambda \to p{\mu }^{-}{\bar{\nu }}_{\mu }$
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• Detecting the polarization in ${\chi }_{cJ}\to \varphi \varphi$ decays to probe hadronic loop effect
• Constraining $|V_{cs}|$ and physics beyond the Standard Model from exclusive (semi)leptonic charm decays
• Isospin Breaking and $\omega$->$\pi \pi$ Decay
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Tri-meson-mixing of $\pi$-$\eta$-${\eta }^{\prime }$ and $\rho$-$\omega$-$\varphi$ in the light-cone quark model
• On the mixing angle of the vector mesons $\omega (782)$ and $\varphi (1020)$
• On the Form Factors of the $D_{s}^{+}\to ϕμ^{+}ν_μ decay
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Semileptonic Decay of $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ Via Neutral Meson Mixing
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Isospin Symmetry Breaking and the $\rho -\omega$-System
• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules