${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ and ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$ decays within QCD Factorization and Possible Puzzles

Abstract

Motivated by the rapid development of heavy-flavor experiments, phenomenological studies of nonleptonic ${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ and ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$~($V=\rho ,K^{\ast }$) decays are performed within the framework of QCD Factorization. Relative to previous works, the QCD corrections to the transverse amplitudes are evaluated at next-to-leading order. The theoretical predictions of the observables are updated. For the measured ${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ decays, two tensions between theoretical results and experimental measurements, {\it i.e.} "$R_{ds}^V$ puzzle" and "$D^{\ast }V$~(or $R_{V/\ell {\bar{\nu }}_{\ell }}$) puzzle", are presented after detailed analyses. For the ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$ decays, they have relatively large branching fractions of the order $\gtrsim \mathcal{O}(10^{-9})$ and are in the scope of Belle-II and LHCb experiments. Moreover, they also provide a way to crosscheck the above-mentioned possible puzzles through the similar ratios $R_{ds}^{\prime V}$ and $R_{V/\ell {\bar{\nu }}_{\ell }}^{\prime }$. More refined experimental measurements and theoretical efforts are required to confirm or refute such two anomalies.

20 pages, 1 figure, 3 tables; revised version

References in corpus (14)

• On the B to D* tau nu Sensitivity to New Physics
• Branching fractions, polarisation and asymmetries of B -> VV decays
• B->V gamma Beyond QCD Factorisation
• Decay constants and radiative decays of heavy mesons in light-front quark model
• 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
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• Measurement of the form factors of the decay B0 -> D*- ell+ nu and determination of the CKM matrix element |Vcb|
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Weak decays of $B_s$ mesons to $D_s$ mesons in the relativistic quark model
• B- -> pi- pi0/rho- rho0 to NNLO in QCD factorization
• Form factors and decay rate of $B_c^{\ast }\to D_s{l}^{+}{l}^{-}$ decays in the QCD sum rules
• Study of Nonleptonic $B_{(s)}^{\ast }\to M_1{M}_2$ $(M=D$, $D_s$, $\pi$, $K)$ Weak Decays with Factorization Approach
• Study of nonleptonic $B_q^{\ast }$ $\to$ $D_{q}V$ and $P_q{D}^{\ast }$ weak decays

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• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• Study of ${\bar{B}}_{u,d,s}^{\ast }\to D_{u,d,s}^{\ast }V(V=D_{d,s}^{\ast -},K^{\ast -},{\rho }^{-})$ weak decays
• $B^{\ast }$ $\to$ $\bar{D}D$ decays with perturbative QCD approach
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• Chirality structure of vector like new physics operators in charged current transitions