Virtual contributions from $D^{\ast }(2007{)}^0$ and $D^{\ast }(2010{)}^{\pm }$ in the $B\to D\pi h$ decays

Abstract

We study the quasi-two-body decays $B\to D^{\ast }h\to D\pi h$ with $h=(\pi ,K)$ in the perturbative QCD approach and focus on the virtual contributions from the off-shell $D^{\ast }(2007{)}^0$ and $D^{\ast }(2010{)}^{\pm }$ in the four measured decays ${\bar{B}}^0\to D^0{\pi }^{+}{\pi }^{-}$, ${\bar{B}}^0\to D^0{\pi }^{+}{K}^{-}$, $B^{-}\to D^{+}{\pi }^{-}{\pi }^{-}$ and $B^{-}\to D^{+}{\pi }^{-}{K}^{-}$. For the ${\bar{B}}^0\to D^{\ast +}{\pi }^{-}\to D^0{\pi }^{+}{\pi }^{-}$ and ${\bar{B}}^0\to D^{\ast +}{K}^{-}\to D^0{\pi }^{+}{K}^{-}$ decays, their branching fractions concentrate in a very small region of $m_{D^0{\pi }^{+}}$ near $D^{\ast +}$ pole mass, and the virtual contributions from $D^{\ast +}$, in the region $m_{D^0{\pi }^{+}}>2.1$ GeV, are about $5\%$ of the corresponding quasi-two-body results. We define two ratios $R_{D^{\ast +}}$ and $R_{D^{\ast 0}}$, from which we conclude that the flavor-$SU(3)$ symmetry will be maintained for the $B\to D^{\ast }h\to D\pi h$ decays with very small breaking at any physical value of the $m_{D\pi }$. The $B^{-}\to D^{\ast 0}{\pi }^{-}\to D^0{\pi }^0{\pi }^{-}$ and $B^{-}\to D^{\ast 0}{K}^{-}\to D^0{\pi }^0{K}^{-}$ decays can be employed as a constraint for the $D^{\ast 0}$ decay width, with preferred values consistent with previous theoretical predictions for this quantity.

arXiv comment12 pages, 5 figures. Published version

References in corpus (89)

• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Study of B- => D**0 pi-(D**0 => D(*)+ pi-) decays
• First Measurement of Gamma(D*+) and Precision Measurement of m_D*+ - m_D0
• Two Body Non Leptonic Decays of B and B_s Mesons
• Dalitz plot analysis of $B_s^0\to {\bar{D}}^0{K}^{-}{\pi }^{+}$ decays
• Dalitz plot analysis of $B^0\to {\overline{D}}^0{\pi }^{+}{\pi }^{-}$ decays
• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• Strong decays of heavy-light mesons in a chiral quark model
• Amplitude analysis of $B^{-}\to D^{+}{\pi }^{-}{\pi }^{-}$ decays
• Improved measurement of the CKM angle gamma in B^-+ -> D^(*) K^(*)-+ decays with a Dalitz plot analysis of D decays to K_S^0 pi^+ pi^- and K_S^0 K^+ K^-
• Three-Body Non-Leptonic B Decays and QCD Factorization
• The semileptonic decays $B/B_s\to (\pi ,K)(l^{+}{l}^{-},l\nu ,\nu \bar{\nu })$ in the perturbative QCD approach beyond the leading-order
• CP violation and kaon-pion interactions in B --> K pi+ pi- decays
• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• Three-body nonleptonic B decays in perturbative QCD
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• 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
• Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Quasi-two-body decays $B\to K\rho \to K\pi \pi$ in perturbative QCD approach
• CP violation in $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in the region with low invariant mass of one ${\pi }^{+}{\pi }^{-}$ pair
• CP-violating asymmetries in B^0 decays to K^+K^-K_{S(L)}^0 and K_S^0K_S^0K_{S(L)}^0
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• CP asymmetries in three-body B+- decays to charged pions and kaons
• Direct CP asymmetries of three-body $B$ decays in perturbative QCD
• Nonresonant Three-body Decays of D and B Mesons
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• First observation and amplitude analysis of the $B^{-}\to D^{+}{K}^{-}{\pi }^{-}$ decay
• Dalitz Plot Analysis of B- -> D+ pi- pi-
• Pion transition form factor in k_T factorization
• Theoretical estimate of the $D^{\ast }\to D\pi$ decay rate
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Symmetry relations in charmless B->PPP decays
• I-spin, U-spin, and penguin dominance in $B\to KK\bar{K}$
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• U-spin breaking in CP asymmetries in B decays
• Analysis of Two-body Charmed $B$ Meson Decays in Factorization-Assisted Topological-Amplitude Approach
• S-, P- and D-wave final state interactions and CP violation in B+- --> pi+- pi-+ pi+- decays
• Masses and decay constants of D(s)* and B(s)* mesons with Nf = 2 + 1 + 1 twisted mass fermions
• B0(t) -> DPP time-dependent Dalitz plots, CP-violating angles 2beta, 2beta+gamma, and discrete ambiguities
• U-spin analysis of CP violation in $B^{-}$ decays into three charged light pseudoscalar mesons
• SU(3) Breaking in Charmless B Decays
• SU(3) Relations and the CP Asymmetry in $B\to K_S{K}_S{K}_S$
• Amplitude analysis of $B^0\to {\bar{D}}^0{K}^{+}{\pi }^{-}$ decays
• Masses and decay constants of $D_{(s)}^{\ast }$ and $B_{(s)}^{\ast }$ mesons in Lattice QCD with $N_f=2+1+1$ twisted-mass fermions
• Comprehensive Study of ${\overline{B}}^0\to K^0({\overline{K}}^0)K^{\mp }{\pi }^{\pm }$ Decays in the Factorization Approach
• Study of $\overline{B^0}\to D^0{\pi }^{+}{\pi }^{-}$ decays
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• On the Measurement of the Unitarity Triangle Angle gamma from B^0 -> DK^{*0} Decays
• Charmless B -> PPP Decays: the Fully-Symmetric Final State
• Measurement of the D*(2010)+ meson width and the D*(2010)+ - D0 mass difference
• Measurement of $CP$ observables in $B^{\pm }\to D^{(\ast )}{K}^{\pm }$ and $B^{\pm }\to D^{(\ast )}{\pi }^{\pm }$ decays
• Localized direct CP violation in $B^{\pm }\to {\rho }^0(\omega ){\pi }^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$
• Quasi-two-body decays $B_{(s)}\to K^{\ast }(892)h\to K\pi h$ in perturbative QCD approach
• Study of color suppressed modes $B^0\to {\bar{D}}^{(\ast )0}{\eta }^{(\prime )}$
• Quasi-two-body decays $B_{(s)}\to P{\rho }^{\prime }(1450),P{\rho }^{\prime \prime }(1700)\to P\pi \pi$ in the perturbative QCD approach
• Measuring the Weak Phase gamma in Color Allowed B->DKpi Decays
• Analysis of the $B_q\to D_q(D_q^{\ast })P$ and $B_q\to D_q(D_q^{\ast })V$ decays within the factorization approach in QCD
• Prospects for the Measurement of the Unitarity Triangle Angle gamma from B0 to DK+pi- Decays
• Measurements of the absolute branching fractions of $B^{+}\to X_{c\bar{c}}{K}^{+}$ and $B^{+}\to {\bar{D}}^{(\ast )0}{\pi }^{+}$ at Belle
• Final-State Phases in $B\to D\pi ,D^{\ast }\pi$, and $D\rho$ Decays
• Observation of Cabibbo suppressed $B\to D^{(\ast )}{K}^{-}$ decays at Belle
• The quasi-two-body decays $B_{(s)}\to (D_{(s)},{\bar{D}}_{(s)})\rho \to (D_{(s)},{\bar{D}}_{(s)})\pi \pi$ in the perturbative QCD factorization approach
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization approach
• Constraints on the unitarity triangle angle $\gamma$ from Dalitz plot analysis of $B^0\to D{K}^{+}{\pi }^{-}$ decays
• The Ratio $\mathcal{R}(D)$ and the $D$-meson Distribution Amplitude
• Hadronic and radiative $D^{\ast }$ decays
• Semileptonic decays $B_c^{+}\to D_{(s)}^{(\ast )}(l^{+}\nu ,l^{+}{l}^{-},\nu \bar{\nu })$ in the perturbative QCD approach
• Measurement of the D*(2010)+ natural line width and the D*(2010)+ - D0 mass difference
• K* resonance effects on direct CP violation in B -> pi pi K
• A Method to Measure cos(2beta) Using Time-Dependent Dalitz Plot Analysis of B0 -> D_CP pi+ pi-
• Update analysis of two-body charmed $B$ meson decays
• Uncertainties of the $B\to D$ transition form factor from the $D$-Meson Leading-Twist Distribution Amplitude
• Three-body decays $B\to \varphi (\rho )K\gamma$ in perturbative QCD approach
• Two-body charmed B(Bs) decays involving a light scalar meson
• Measurement of Branching Fractions and Resonance Contributions for B0 -> D0bar K+ pi- and Search for B0 -> D0 K+ pi- Decays
• Final state interaction on $B^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$
• Double Dalitz Plot Analysis of the Decay B^0 -> D K+ Pi-, D -> Ks Pi+ Pi-
• Summary of the 2015 LHCb workshop on multi-body decays of D and B mesons
• ${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ and ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$ decays within QCD Factorization and Possible Puzzles
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• Optimising sensitivity to $\gamma$ with $B^0\to D{K}^{+}{\pi }^{-}$, $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ double Dalitz plot analysis
• Study of $CP$ Violations in $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ and $B^{-}\to K^{-}{f}_0(500)$ decays in the QCD factorization approach
• First observation of the rare $B^{+}\to D^{+}{K}^{+}{\pi }^{-}$ decay

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• Analysis of three-body charmed B meson decays under the factorization-assisted topological-amplitude approach
• Resonance contributions $\varphi (1020,1680)\to K\bar{K}$ for the three-body decays $B\to K\bar{K}h$
• $P$-wave contributions to $B_{(s)}\to \psi K\pi$ decays in perturbative QCD approach
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$
• The $\rho (770,1450)\to \omega \pi$ contributions for three-body decays $B\to {\bar{D}}^{(\ast )}\omega \pi$
• Contributions of $\rho (770,1450)\to \omega \pi$ for the Cabibbo-favored $D\to h\omega \pi$ decays
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays