Probing $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ semileptonic decay within LCSR under chiral heavy quark effective field theory

Abstract

Motivated by the successful application of Heavy Quark Effective Field Theory in describing decays from heavy to light mesons, this work explores its applicability to the semileptonic decays of charmed mesons. So in this paper we investigate the $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ transition form factors using the light-cone sum rules approach within the framework of heavy-quark effective field theory. To address the large uncertainties arsing from the ${\eta }^{(\prime )}$-meson twist-3 distribution amplitudes, we employ the right-handed chiral correlation function. By applying the converging simplified series expansion method, we extrapolate the form factors to the entire physical $q^2$-region. Our analysis yields the branching fractions precise predictions for semi-leptonic decays $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ with : $\mathcal{B}(D_s^{+}\to \eta {\ell }^{+}{\nu }_{\ell })=2.300_{-0.227}^{+0.230}\%$ ($\ell =e$) and $2.249_{-0.206}^{+0.209}\%$ ($\ell =\mu$); $\mathcal{B}(D_s^{+}\to {\eta }^{\prime }{\ell }^{+}{\nu }_{\ell })=0.861_{-0.093}^{+0.095}\%$ ($\ell =e$) and $0.821_{-0.080}^{+0.082}\%$ ($\ell =\mu$). The derived lepton flavor universality ratios $R_{\mu ,e}^{\eta }=0.977_{-0.006}^{+0.008}$ and $R_{\mu ,e}^{{\eta }^{\prime }}=0.953_{-0.009}^{+0.011}$ are consistent with lasted BESIII experimental measurements. Additionally, the forward-backward asymmetry parameters $⟨{\mathcal{A}}_{\mathrm{FB}}^{\eta }⟩=-0.034_{-0.003}^{+0.003}$ and $⟨{\mathcal{A}}_{\mathrm{FB}}^{{\eta }^{\prime }}⟩=-0.073_{-0.008}^{+0.007}$ suggest that no significant violation of lepton flavor universality in this decay process.

arXiv comment8 pages, 5 figures. Accepted by Physics Letters B

References in corpus (37)

• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Weak form factors for heavy meson decays: an update
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Analysis of the Pion Wave Function in Light-Cone Formalism
• Measurement of the gamma gamma* --> eta and gamma gamma* --> eta' transition form factors
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Improved approach to the heavy-to-light form factors in the light-cone QCD sum
• Semileptonic $D_{(s)}$-meson decays in the light of recent data
• Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules
• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• $D_s\to \eta ,{\eta }^{\prime }$ semileptonic decay form factors with disconnected quark loop contributions
• Interpretation of the "$f_{D_s}$ puzzle" in SM and beyond
• Absolute Branching Fraction Measurements for Exclusive $D_s$ Semileptonic Decays
• Light-Cone Sum Rules for the $D_{(s)}\to {\eta }^{(\prime )}l{\nu }_l$ Form Factor
• $D_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states: a phenomenological analysis
• Measurement of the Dynamics of the Decays $D_s^{+}\to {\eta }^{(\prime )}{e}^{+}{\nu }_e$
• η-η' -Glueball mixing from photon-meson transition form factors and decay ratio D_s --> ηl ν/ η' l ν
• Weak Matrix Elements and |V_cb| in New Formulation of Heavy Quark Effective Field Theory
• Measurements of the Ratios $\mathcal{B}(D_s^{+}\to \eta {\ell }^{+}\nu )/\mathcal{B}(D_s^{+}\to \varphi {\ell }^{+}\nu )$ and $\mathcal{B}(D_s^{+}\to {\eta }^{\prime }{\ell }^{+}\nu )/\mathcal{B}(D_s^{+}\to \varphi {\ell }^{+}\nu )$
• A Consistent Calculation of Heavy Meson Decay Constants and Transition Wave Functions in the Complete HQEFT
• 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 ${\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$
• Measurements of the absolute branching fractions for $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$
• Precision Measurements of $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$
• Observation of $D_s^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$, Precision Test of Lepton Flavor Universality with $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$, and First Measurements of $D_s^{+}\to {\eta }^{(\prime )}{\mu }^{+}{\nu }_{\mu }$ Decay Dynamics
• Inclusive Decays of Bottom Hadrons in New Formulation of Heavy Quark Effective Field Theory
• Semileptonic B Decays into Excited Charmed Mesons ($D_1$, $D_2^{\ast }$) in HQEFT
• The ratio $\mathcal{R}(D_s)$ for $B_s\to D_s\ell {\nu }_{\ell }$ by using the QCD light-cone sum rules within the framework of heavy quark effective field theory
• |V_ub| and |V_cb|, Charm Counting and Lifetime Differences in Inclusive Bottom Hadron Decays
• $B_{(s)}\to D_{(s)}^{\ast \ast }$ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects
• The $B\to \pi \ell {\nu }_{\ell }$ semileptonic decay within the LCSR approach under heavy quark effective field theory
• 1/m_Q Corrections to B -> rho l nu Decay and |V_{ub}|