S-wave contributions in ${\bar{B}}_s^0\to (D^0,{\bar{D}}^0){\pi }^{+}{\pi }^{-}$ within perturbative QCD approach

Abstract

The ${\bar{B}}_s^0\to (D^0,{\bar{D}}^0){\pi }^{+}{\pi }^{-}$ is induced by the $b\to c\bar{u}s$/$b\to u\bar{c}s$ transition, and can interfere if a CP-eigenstate $D_{\mathrm{CP}}$ is formed. The interference contribution is sensitive to the CKM angle $\gamma$. In this work, we study S-wave ${\pi }^{+}{\pi }^{-}$ contributions to the process in the perturbative QCD factorization. Under the factorization framework, we adopt two-meson light-cone distribution amplitudes, whose normalization is parametrized by the S-wave time-like two-pion form factor with the resonance contributions from $f_0(500)$, $f_0(980),f_0(1500),f_0(1790)$. We find the branching ratios of ${\bar{B}}_s^0\to (D^0,{\bar{D}}^0)({\pi }^{+}{\pi }^{-}{)}_S$ can reach the order of $10^{-6}$, and significant interferences exist in ${\bar{B}}_s^0\to D_{CP}({\pi }^{+}{\pi }^{-}{)}_S$. The future measurement can not only provide useful constraints on the CKM angle $\gamma$ but is also helpful to explore the multi-body decay mechanism of heavy mesons.

arXiv comment12 pages,3 figures

References in corpus (54)

• Weak Decays Beyond Leading Logarithms
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Hard exclusive electroproduction of two pions and their resonances
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Search for the decay $B_s^0\to {\overline{D}}^0{f}_0(980)$
• B to light meson transition form factors calculated in perturbative QCD approach
• Perturbative QCD Analysis of $B$ Meson Decays
• Factorization theorems, effective field theory, and nonleptonic heavy meson decays
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ and $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$ decays
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{+}{K}^{-}{\pi }^{\pm }$ and $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays
• Next-to-leading-order corrections to $B\to \pi$ form factors in $k_T$ factorization
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Measurement of resonant and $CP$ components in ${\overline{B}}_s^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• 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
• 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
• $B\to S$ Transition Form Factors in the PQCD approach
• Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays
• Measurement of the resonant and CP components in ${\overline{B}}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Branching ratio and CP asymmetry of $B_s\to {\pi }^{+}{\pi }^{-}$ decays in the perturbative QCD approach
• Generalized Heavy-to-Light Form Factors in Light-Cone Sum Rules
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• Next-to-leading-order correction to pion form factor in $k_T$ factorization
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• Study of scalar mesons f_0(980) and f_0(1500) from $B\to f_0(980)K$ and $B\to f_0(1500)K$ Decays
• Analysis of $B\to K_J^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ in the higher kaon resonance region
• Exclusive $B_s$ decays to the charmed mesons $D_s^{+}(1968,2317)$ in the standard model
• ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{(\ast )}\mathbf{\ell }\bar{\nu }$, Angular Analysis, S-wave Contributions and $|{\mathbf{V}}_{\mathbf{ub}}|$
• Charmless Three-body Decays of B_s Mesons
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Rare Decays $B^0\to D_s^{(\ast )+}{D}_s^{(\ast )-}$ and $B_s^0\to D^{(\ast )+}{D}^{(\ast )-}$ in Perturbative QCD Approach
• The $S$-wave resonance contributions to the three-body decays $B_{(s)}^0\to {\eta }_c{f}_0(X)\to {\eta }_c{\pi }^{+}{\pi }^{-}$ in perturbative QCD approach
• 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
• Measurement of the branching fractions of the decays Bs -> D0bar K- π+ and B0 -> D0bar K+ π-
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• $S$-wave resonance contributions to the $B_{(s)}^0\to {\eta }_c(2S){\pi }^{+}{\pi }^{-}$ in the perturbative QCD factorization approach
• Quasi-two-body decays $B\to {\eta }_c(1S,2S)[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD approach
• CP violation effects on the measurement of $\gamma$ from $B\to DK$
• Chiral dynamics, S-wave contributions and angular analysis in $D\to \pi \pi \ell \bar{\nu }$
• Observation of the decay $B_s^0\to {\overline{D}}^0{K}^{+}{K}^{-}$
• Recent Developments on the CKM Matrix
• Determining CP violation angle $\gamma$ with B decays into a scalar/tensor meson
• Branching Fractions and Direct CP Asymmetries of ${\bar{B}}_s^0\to K^0{h}^{+}{h}^{\prime -}(h^{(\prime )}=K,\pi )$ Decays
• Dipion light-cone distribution amplitudes and $B\to \pi \pi$ form factors
• To understand the rare decay $B_s\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$
• $B\to D{K}_{0,2}^{\ast }$ Decays: PQCD analysis to determine CP violation phase angle $\gamma$
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$

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