The $B\to D^{(\ast )}l{\nu }_l$ decays in the pQCD approach with the Lattice QCD input

Abstract

In this paper, we studied the semileptonic decays $B\to D^{(\ast )}{l}^{-}{\bar{\nu }}_l$ by using the "pQCD+Lattice QCD" method. We made the extrapolation for the six relevant form factors by using the input values obtained from the pQCD factorization approach in the low $q^2$ region of $0\le q^2\le m_{\tau }^2$, and the Lattice QCD input at the end-point $q^2=q_{\max }^2$. We then calculated the ratios $R(D)$ and $R(D^{\ast })$ of the branching ratios $\mathcal{B}(B\to D^{(\ast )}{l}^{-}{\bar{\nu }}_l)$, and found numerically that (1) the "pQCD+Lattice QCD" predictions for the branching ratios $\mathcal{B}(B\to D^{(\ast )}{l}^{-}{\bar{\nu }}_l)$ agree well with the measured values within one standard deviation, and (2) the "pQCD+Lattice QCD" predictions for the ratios $R(D^{(\ast )})$ are $R(D)=0.337_{-0.037}^{+0.038}$ and $R(D^{\ast })=0.269_{-0.020}^{+0.021}$, they agree with the data within $2\sigma$ deviation, in other words, one can explain the "$R(D^{(\ast )})$-puzzle" in the framework of the standard model.

11 pages, 3 ps figures. Add a new figure and more discussions

References in corpus (11)

• Measurement of the branching ratio of $\bar{B}\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to $\bar{B}\to D^{(\ast )}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with hadronic tagging at Belle
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• On the B to D* tau nu Sensitivity to New Physics
• Implications of lepton flavor universality violations in B decays
• Simultaneous Explanation of the $R_K$ and $R(D^{(\ast )})$ Puzzles
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• Flavor models for $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• $B\to Dl\nu$ Form Factors at Non-Zero Recoil and Extraction of $|V_{cb}|$
• 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
• B decay anomalies in an effective theory
• Exclusive weak B decays involving $\tau$ lepton in the relativistic quark model

Cited by in corpus (15)

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• Anomalies in (semi)-leptonic $B$ decays $B^{\pm }\to {\tau }^{\pm }\nu$, $B^{\pm }\to D{\tau }^{\pm }\nu$ and $B^{\pm }\to D^{\ast }{\tau }^{\pm }\nu$, and possible resolution with sterile neutrino
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Semileptonic decays $B_c\to ({\eta }_c,J/\psi )l{\bar{\nu }}_l$ in the "PQCD + Lattice" approach
• Semileptonic decays $B/B_s\to (D^{(\ast )},D_s^{(\ast )})l{\nu }_l$ in the PQCD approach with the lattice QCD input
• The Ratio $\mathcal{R}(D)$ and the $D$-meson Distribution Amplitude
• Decays of $B$, $B_s$ and $B_c$ to $D$-wave heavy-light mesons
• The $D_s$-meson leading-twist distribution amplitude within the QCD sum rules and its application to the $B_s\to D_s$ transition form factor
• Study of semileptonic ${\bar{B}}^{\ast }\to P\ell {\bar{\nu }}_{\ell }$ decays
• Uncertainties of the $B\to D$ transition form factor from the $D$-Meson Leading-Twist Distribution Amplitude
• Remarks on the Standard Model predictions for $R(D)$ and $R(D^{\ast })$
• The PQCD approach towards to next-to-leading order: a short review
• Study of ${\bar{B}}_s\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ decays in the PQCD factorization approach with the lattice QCD input
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA