$B\to D_0^{\ast }$ and $B_s\to D_{s0}^{\ast }$ form factors from QCD light-cone sum rules

Abstract

We present the first application of QCD light-cone sum rules (LCSRs) with $B_{(s)}$-meson distribution amplitudes to the $B_{(s)}\to D_{(s)0}^{\ast }$ form factors, where $D_{(s)0}^{\ast }$ is a charmed scalar meson. We consider two scenarios for the $D_0^{\ast }$ spectrum. In the first one, we follow the Particle Data Group and consider a single broad resonance $D_0^{\ast }(2300)$. In the second one, we assume the existence of two scalar resonances, $D_0^{\ast }(2105)$ and $D_0^{\ast }(2451)$, as follows from a recent theoretically motivated analysis of $B\to D\pi \pi$ decays. The $B\to D_0^{\ast }$ form factors are calculated in both scenarios, also taking into account the large total width of $D_0^{\ast }(2300)$. Furthermore, we calculate the $B_s\to D_{s0}^{\ast }$ form factors, considering in this case only the one-resonance scenario with $D_{s0}(2317)$. In this LCSRs calculation, the $c$-quark mass is kept finite and the $s$-quark mass is taken into account. We also include contributions of the two- and three-particle distribution amplitudes up to twist-four. Our predictions for semileptonic $B\to D_0^{\ast }\ell {\nu }_{\ell }$ and $B_s\to D_{s0}^{\ast }\ell {\nu }_{\ell }$ branching ratios are compared with the available data and HQET-based predictions. As a byproduct, we also obtain the $D_0^{\ast }$- and $D_{s0}^{\ast }$-meson decay constants and predict the lepton flavour universality ratios $R(D_0^{\ast })$ and $R(D_{s0}^{\ast })$.

arXiv comment28 pages, 3 figures, table added, minor corrections

References in corpus (23)

• FLAG Review 2021
• Asymptotics of Heavy-Meson Form Factors
• The B-Meson Distribution Amplitude in QCD
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Non-local matrix elements in $B_{(s)}\to \{K^{(\ast )},\varphi \}{\ell }^{+}{\ell }^{-}$
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• Towards a new paradigm for heavy-light meson spectroscopy
• Higher-twist B-meson Distribution Amplitudes in HQET
• Current correlators to all orders in the quark masses
• Semileptonic $B_{(s)}$ decays to excited charmed mesons with $e,\mu ,\tau$ and searching for new physics with $R(D^{\ast \ast })$
• Condensates in Quantum Chromodynamics
• Universal ${\tau }_{1/2}(y)$ Isgur-Wise Function at the Next-to-Leading Order in QCD Sum Rules
• Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays
• Isospin-1/2 $D\pi$ scattering and the lightest $D_0^{\ast }$ resonance from lattice QCD
• Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule
• Model independent analysis of semileptonic $B$ decays to $D^{\ast \ast }$ for arbitrary new physics
• Where is the lightest charmed scalar meson?
• The $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from light-cone sum rules
• Radial excitations of heavy-light mesons from QCD sum rules
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• $B\to D_1(2420)$ and $B\to D_1^{\prime }(2430)$ form factors from QCD light-cone sum rules
• $B_{(s)}\to D_{(s)}^{\ast \ast }$ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects

Cited by in corpus (3)

• $S$-wave contribution to rare $D^0\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays in the Standard Model and sensitivity to New Physics
• Inclusive semileptonic $B_s^0$ meson decays at the LHC via a sum-of-exclusive modes technique: possibilities and prospects
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV