Estimating Form Factors of $B_s\to D_s^{(\ast )}$ and their Applications to Semi-leptonic and Non-leptonic Decays

Abstract

$B_s^0\to D_s^{-}$ and $B_s^0\to D_s^{\ast -}$ weak transition form factors are estimated for the whole physical region with a method based on an instantaneous approximated Mandelstam formulation of transition matrix elements and the instantaneous Bethe-Salpeter equation. We apply the estimated form factors to branching ratios, CP asymmetries and polarization fractions of non-leptonic decays within the factorization approximation. And we study the non-factorizable effects and annihilation contributions with the perturbative QCD approach. The branching ratios of semi-leptonic $B_s^0\to D_s^{(\ast )-}{l}^{+}{\nu }_l$ decays are also evaluated. We show that the calculated decay rates agree well with the available experimental data. The longitudinal polarization fraction of $B_s\to D_s^{\ast }V(A)$ decays are $\sim 0.8$ when $V(A)$ denotes a light meson, and are $\sim 0.5$ when $V(A)$ denotes a $D_q$ ($q=d,s$) meson.

Final version published in J Phys. G 39 (2012) 045002 (Title also changed)

References in corpus (19)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Branching fractions, polarisation and asymmetries of B -> VV decays
• QCD Factorization for Charmless Hadronic B_s Decays Revisited
• 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- to light-meson transition form factors
• $B_s\to D_s(3040)$ form factors and $B_s$ decays into $D_s(3040)$
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• Strong D* -> D+pi and B* -> B+pi couplings
• Exclusive $B_s$ decays to the charmed mesons $D_s^{+}(1968,2317)$ in the standard model
• Study on $B_s\to D_{sJ}(2317,2460)l\bar{\nu }$ Semileptonic Decays in the CQM Model
• Study of Bc -> BP,BV Decays with QCD Factorization
• The $B_c$ Decays to $P$-wave Charmonium by Improved Bethe-Salpeter Approach
• Exploring CP Violation and Penguin Effects through $B_d^0\to D^{+}{D}^{-}$ and $B_s^0\to D_s^{+}{D}_s^{-}$
• Decays of $B$ meson to two charmed mesons
• QCD Sum Rules Study of the Semileptonic $B_s(B^{\pm })(B^0)\to D_s[1968](D^0)(D^{\pm })l\nu$ Decays
• Semileptonic $B_q\to D_q^{\ast }l\nu$ $(q=s,d,u)$ Decays in QCD Sum Rules
• Branching Ratio and CP Asymmetry of $B_s\to \rho (\omega )K$ Decays in the Perturbative QCD Approach
• Observation of B_s0->D_s*- pi+, B_s0->D_s(*)- rho+ Decays and Measurement of B_s0->D_s*- rho+ Polarization
• Observation of Bs->Ds(*)+Ds(*)- using e+e- collisions and a determination of the Bs-Bsbar width difference ΔΓ_s

Cited by in corpus (22)

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• Semileptonic decays $B/B_s\to (D^{(\ast )},D_s^{(\ast )})l{\nu }_l$ in the PQCD approach with the lattice QCD input
• 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
• Weak decays of ${\bar{B}}_s$ mesons
• Form factors and branching fraction calculations for $B_s\to D_s^{(\ast )}{\ell }^{+}{\nu }_{\ell }$ in view of LHCb observation
• The Productions and Strong Decays of $D_q(2S)$ and $B_q(2S)$
• First observation and measurement of the branching fraction for the decay $B_s^0\to D_s^{\ast \mp }{K}^{\pm }$
• ${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ and ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$ decays within QCD Factorization and Possible Puzzles
• Measurement of the inclusive semileptonic branching fraction $\mathcal{B}(B_s^0\to X^{-}{\ell }^{+}{\nu }_{\ell })$ at Belle
• Implication of $b\to c\tau \nu$ flavor anomalies on $B_s\to D_s^{\ast }\tau \nu$ decay observables
• The Semileptonic $\overline{B}⟶Dl\overline{\nu }$ and $\overline{B_s}⟶D_{s}l\overline{\nu }$ Decays in Isgur-Wise Approach
• Semi-inclusive studies of semileptonic $B_s$ decays at Belle
• New physics footprints in the angular distribution of $B_s\to D_s^{\ast }(\to D_s\gamma ,D_s\pi )\tau \nu$ decays
• The ratio $\mathcal{R}(D_s)$ for $B_s\to D_s\ell {\nu }_{\ell }$ by using the QCD light-cone sum rules within the framework of heavy quark effective field theory
• CP violation in non-leptonic $B_c$ decays to excited final states
• Doubly-charged scalar in rare decays of $B_c$ meson
• $B_s$ mesons: semileptonic and nonleptonic decays
• Three-Body $B_{(s)}^0$ to $\varphi {\pi }^{+}{\pi }^{-}$ Decays