Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach

Abstract

We calculate the CP-averaged branching ratios and CP-violating asymmetries of a number of two-body charmless hadronic decays $\overline{B_s^0}\to PP,PV,VV$ in the perturbative QCD (pQCD) approach to leading order in ${\alpha }_s$ (here $P$ and $V$ denote light pseudoscalar and vector mesons, respectively). The mixing-induced CP violation parameters are also calculated for these decays. We also predict the polarization fractions of $B_s\to VV$ decays and find that the transverse polarizations are enhanced in some penguin dominated decays such as $\overline{B_s^0}\to K^{\ast }\overline{K^{\ast }}$, $K^{\ast }\rho$. Some of the predictions worked out here can already be confronted with the recently available data from the CDF collaboration on the branching ratios for the decays $\overline{B_s^0}\to K^{+}{\pi }^{-}$, $\overline{B_s^0}\to K^{+}{K}^{-}$ and the CP-asymmetry in the decay $\overline{B_s^0}\to K^{+}{\pi }^{-}$, and are found to be in agreement within the current errors. A large number of predictions for the branching ratios, CP-asymmetries and vector-meson polarizations in $\overline{B_s^0}$ decays, presented in this paper and compared with the already existing results in other theoretical frameworks, will be put to stringent experimental tests in forthcoming experiments at Fermilab, LHC and Super B-factories.

arXiv comment70 pages, 7 figures, to appear in Physical Review D; several input parameters modified resulting in changes in several tables and ratios of branching ratios; added references

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• Semileptonic baryon decays ${\Xi }_b\to {\Xi }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ in perturbative QCD
• New physics contributions to ${\bar{B}}_s\to {\pi }^0({\rho }^0){\eta }^{{(}^{\prime })}$ decays
• Family Non-universal $Z^{\prime }$ Effects on $B_{d,s}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ Decays in Perturbative QCD Approach
• Revisiting nonfactorizable contributions to factorization-forbidden decays of $B$ mesons to charmonium
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$
• Three body radiative decay $B_s\to \varphi {\bar{K}}^0\gamma$ in the PQCD approach
• Experimental constraints from flavour changing processes and physics beyond the Standard Model
• Supersymmetric contributions to ${\bar{B}}_s\to \varphi {\pi }^0$ and ${\bar{B}}_s\to \varphi {\rho }^0$ decays in SCET
• Comments on $\left|\frac{V_{ub}}{V_{cb}}\right|$ and $|V_{ub}|$ from Non-leptonic $B$ Decays within the Perturbative QCD Approach
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach
• Study the contributions of S, P, and D-wave resonances to the quasi-two-body decays $B_s^0\to \psi (3686,3770)K\pi$ in perturbative QCD approach
• Study of ${\bar{B}}^0\to D^0{\mu }^{+}{\mu }^{-}$ Decay in Perturbative QCD Approach
• Search for the Decay $B_s^0\to {\eta }^{\prime }\eta$
• Probing $D_{s0}^{\ast }(2317)$ in the decays of $B$ to two charmed mesons
• The FSI contribution to the observed $B_s$ decays into $K^{+}{K}^{-}$ and ${\pi }^{+}{K}^{-}$
• $B_{(s)}\to D_{s0}^{\ast }(2317)P(V)$ decays in perturbative QCD approach
• $B_s^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ decays in the pQCD approach
• Study of the quasi-two-body decays B^{0}_{s} \rightarrow ψ(3770)(ψ(3686))π^+π^- with perturbative QCD approach
• Perturbative QCD for B_s \to a_1(1260)(b_1(1235))P(V) Decays
• Inspection of new physics in ${\mathrm{B}}_{\mathrm{s}}^0\to {\mathrm{K}}^{+}{\mathrm{K}}^{-}$ decay mode
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• Search for the decay $B_s^0\to {\pi }^0{\pi }^0$ at Belle
• Moriond QCD 2007 - Theory Summary
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• B\to K_1π(K) decays in the perturbative QCD approach
• Investigating the Effect of Family Non-universal $Z^{\prime }$ Boson in $B\to \varphi \varphi$ Decay
• Study of Pure Annihilation Decays B_{d,s} \to D^{0} \bar D^{0}
• Hadronic decays of $B\to a_1(1260)b_1(1235)$ in the perturbative QCD approach
• Search for the decay $B_s^0\to \eta \eta$
• Constrain the UT angle $\gamma$ by CP violation parameters in $B^0\to {\pi }^{+}{\pi }^{-}$
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Estimating the annihilation decay B_s -> rho gamma with factorization
• Theoretical Interest in B-Meson Physics at the B factories, Tevatron and the LHC
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays
• Effects from Hadronic Structure of Photon on $B\to \varphi \gamma$ and $B_s\to ({\rho }^0,\omega )\gamma$ Decays
• B-Physics at the Tevatron (Proceedings of PASCOS2010)
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays
• Recent results from the Belle experiment
• Analysis of $B\to a_1(1260)(b_1(1235))K^{\ast }$ decays in the perturbative QCD approach
• Study of $C$ parity violating and strangeness changing $J/\psi$ $\to$ $PP$ weak decays
• Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the charmed three-body $B$ meson decays