Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays

Abstract

Using a theoretical framework based on the next-to-leading order QCD-improved effective Hamiltonian and a factorization Ansatz for the hadronic matrix elements of the four-quark operators, we reassess branching fractions in two-body non-leptonic decays $B\to PP,PV,VV$, involving the lowest lying light pseudoscalar $(P)$ and vector $(V)$ mesons in the standard model. Using the sensitivity of the decay rates on the effective number of colors, $N_c$, as a criterion of theoretical predictivity, we classify all the current-current (tree) and penguin transitions in five different classes. The recently measured charmless two-body $B\to PP$ decays $(B^{+}\to K^{+}{\eta }^{\prime },B^0\to K^0{\eta }^{\prime },B^0\to K^{+}{\pi }^{-},B^{+}\to {\pi }^{+}{K}^0$ and charge conjugates) are dominated by the $N_c$-stable QCD penguins (class-IV transitions) and their estimates are consistent with data. The measured charmless $B\to PV$ $(B^{+}\to \omega K^{+},B^{+}\to \omega h^{+})$ and $B\to VV$ transition $(B\to \varphi K^{\ast })$, on the other hand, belong to the penguin (class-V) and tree (class-III) transitions. The class-V penguin transitions are in general more difficult to predict. We propose a number of tests of the factorization framework in terms of the ratios of branching ratios for some selected $B\to h_1{h}_2$ decays involving light hadrons $h_1$ and $h_2$, which depend only moderately on the form factors. We also propose a set of measurements to determine the effective coefficients of the current-current and QCD penguin operators. The potential impact of $B\to h_1{h}_2$ decays on the CKM phenomenology is emphasized by analyzing a number of decay rates in the factorization framework.

64 pages (LaTex) including 13 figures, requires epsfig.sty; submitted to Phys. Rev. D

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• B to D(*) pi- beyond naive factorization in the heavy quark limit
• Charmless hadronic B decays and the recent CLEO data
• Signature of new physics in B -> phi pi decay
• Test of factorisation in $B\to K\pi$ decays
• Probing new physics in B -> phi pi decay
• Study of $\bar{B}\to \Lambda \bar{p}\rho (\varphi )$ and $\bar{B}\to \Lambda \bar{\Lambda }{\bar{K}}^{\ast }$
• Probing New Physics in Charm Couplings with FCNC
• Light quark decays of doubly heavy baryons in light front approach
• $CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD
• The study of $B\to J/\Psi {\eta }^{(\prime )}$ decays and determination of $\eta -{\eta }^{\prime }$ mixing angle
• Calculation of the $B\to K_{0,2}^{\ast }(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach
• $\eta -{\eta }^{\prime }$ Mixing Angle from Vector Meson Radiative Decays
• Power Corrections in Charmless B Decays
• Role of final state interactions in the B meson decay into two pions
• Charmless Final State Interaction in B-> pi pi decays
• Sizable Time-reversal violating effects in bottom baryon decays
• Nonfactorization in Cabibbo-Favored B Decays
• Productions of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B_{(s)}$ and ${\Lambda }_b({\Xi }_b)$ decays
• Charmful baryonic B\to {\bf B\bar B'}M_c decays
• Factorization vs. Flavor SU(3) in Charmless B Decays
• $CP$ violation for $B_c^{+}\to D_{(s)}^{+}{\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Charmless $B_s\to VS$ Decays in PQCD Approach
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Factorization and hadronic B decays in the heavy quark limit
• Semi-Inclusive B\to K(K^*) X Decays with Initial Bound State Effects
• The double charm decays of B Mesons in the mSUGRA model
• Searching for New Physics in the rare decay B^+ \to D_s^+ ϕ
• A simultaneous explanation of the large phase in B_s-\bar B_s mixing and B --> ππ/ πK puzzles in R-parity violating supersymmetry
• Heavy Quark Symmetry in Nonleptonic B-Decays to Excited Charmed Mesons
• New Physics in b -> s bar(s) s Decay. II: Study of B -> V1 V2 Modes
• Probing new physics in class-I $B$-meson decays into heavy-light final states
• Topological $SU(3{)}_f$ approach for two-body ${\Omega }_c$ weak decays
• Exploring the Unitarity Triangle through CP violation observables in $B_s\to K^{+}{K}^{-}$
• Simultaneous extractions of $|V_{ub}|$ and $|V_{cb}|$ with only the exclusive ${\Lambda }_b$ decays
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• B decays into two light pseudoscalar mesons and possible effects of enhanced b --> s g
• Measurement of the CKM angle alpha with the B-factories
• The B^- -> phi phi K^- decay rate with phi phi invariant mass below charm treshold
• Branching ratios of $B^{+}\to D^{(\ast )+}{K}^{(\ast )0}$ decays in perturbative QCD approach
• Measurement of the Branching Fractions for $B\to \omega K$ and $B\to \omega \pi$
• Muon mass correction in partial wave analyses of charmed meson semi-leptonic decays
• Determinations of $|V_{cb}|$ and $|V_{ub}|$ from baryonic ${\Lambda }_b$ decays
• Nonleptonic charmless 2-body B decays in the perturbative QCD approach
• Measurements of B meson decays to omega K* and omega rho
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• Study of $B^{-}\to \Lambda \bar{p}{\eta }^{{(}^{\prime })}$ and ${\bar{B}}_s^0\to \Lambda \bar{\Lambda }{\eta }^{{(}^{\prime })}$ decays
• Determination of $|V_{ub}|$ from exclusive baryonic $B$ decays
• Evidence for the decay B0 --> omega omega and search for B0 --> omega phi
• ${\bar{B}}^0\to {\pi }^{+}X$ in the Standard Model
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• The Study of Rare $B_c\to D_{s,d}^{(\ast )}l\bar{l}$ Decays
• The decays $B\to \Psi (2S)\pi (K),{\eta }_c(2S)\pi (K)$ in the pQCD approach beyond the leading-order
• CP Violating B Decays with R-parity Violation
• A Consistent Scenario for B to PS Decays
• New Physics in b --> s bar(s) s Decay
• The study of weak decays induced by ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{-}$ transition in light-cone sum rules
• Study of f_0(980) and f_0(1500) from B_s \to f_0(980)K, f_0(1500)K Decays
• Roles of scalar mesons in charmless ${\Lambda }_b$ decays
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach
• Anatomy of $B_s\to PP$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Rescattering and electroweak penguin effects in determinations of the weak phase $\gamma$
• Exploring the simplest purely baryonic decay processes
• BaBar B Decay Results
• $B\to K\pi$ Decays with $1/m_b$ Corrections in $QCD$ Factorization
• Testing QCD factorization with phase determinations in $B\to K\pi$,$K\rho$ and $K^{\ast }\pi$ decays
• Revisiting the $B^0\to {\pi }^0{\pi }^0$ decays in the perturbative QCD approach
• Angular asymmetries in $B\to \Lambda \bar{p}M$ decays
• Evaluation of the $B_c^{+}\to D^0{K}^{+}$ decay by the factorization approaches and applying the effects of the final state interaction
• Charmful two-body ${\Omega }_b$ decays in the light-front quark model
• Nonleptonic charmless two-body $B\to AT$ decays
• Study of f_0(980) and f_0(1500) from B_s \to f_0(980)π, f_0(1500)πDecays
• A Simple Expression for Heavy to Light Meson Semileptonic Decays Form Factors
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay
• Analysis of the decay $B^0\to {\chi }_{c1}{\pi }^0$ with light-cone QCD sum rules
• $\Delta S=2$ decays of $B^{-}$ meson in MSSM and two Higgs doublet model
• Weak decays of bottom-charm baryons: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$
• Alternative Approach to $B^{-}\to {\eta }^{\prime }{K}^{-}$ Branching Ratio Calculation
• Estimating the branching fraction for $B^0\to \psi (2S){\pi }^0$ decay
• Hadronic decays of $B\to a_1(1260)b_1(1235)$ in the perturbative QCD approach
• Rates of $D_0^{\ast }(2400)$, $D_J^{\ast }(3000)$ as the $D_0^{\ast }(2P)$ and $D_0^{\ast }(3P)$ in $B$ Decays
• Branching ratios and CP asymmetries in charmless nonleptonic B decays to radially excited mesons
• Nonperturbative QCD corrections to the effective coefficients of the four-Fermi operators
• Looking for nonstandard CP violation in B^\pm -> D_s^\pm D^0 pi^0 decays
• Charmless $B_{u,d,s}\to VT$ decays in perturbative QCD approach
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays
• Charming penguin and direct CP-violation in charmless B decays
• New Source of CP violation in B physics ?
• ${\eta }^{(\prime )}$-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$
• B decays into pion-pion-kaon and into kaon-antikaon-kaon: long distance and final-state effects
• $B\to K\eta ,K{\eta }^{\prime }$ Decays
• Production of the $X(3872)$ state via the $B^0\to K^{\ast 0}X(3872)$ decay