Charmless B decays to a scalar meson and a vector meson

Abstract

The hadronic charmless B decays into a scalar meson and a vector meson are studied within the framework of QCD factorization. The main results are: (i) The decay rates for the $f_0(980)K^{\ast -}$ and $f_0(980)\ov K^{*0}$ modes depend on the $f_0-\sigma$ mixing angle $\theta$. The experimental measurements can be accommodated for $\theta \approx 20^{\circ }$. (ii) If the $a_0(980)$ is a $q\bar{q}$ bound state, the predicted branching ratios for the channels $a_0^{+}{\rho }^{-}$ and $a_0^0{\rho }^{-}$ will be very large, of order $30\times 10^{-6}$ and $23\times 10^{-6}$, respectively. If the observation of or the experimental limit on theses two modes is much smaller than the expectation of $\sim 25\times 10^{-6}$, this could hint at a four-quark nature for the $a_0(980)$. (iii) For the $a_0(1450)$ channels, $a_0^{+}(1450){\rho }^{-}$ and $a_0^0(1450){\rho }^{-}$ are found to have branching ratios of order $16\times 10^{-6}$ and $22\times 10^{-6}$, respectively. A measurement of them at the predicted level will favor the $q\bar{q}$ structure for the $a_0(1450)$. (iv) Contrary to the naive expectation that $\Gamma (B^{-}\to a_0^0{\rho }^{-})\sim \frac{1}{2}\Gamma ({\bar{B}}^0\to a_0^{+}{\rho }^{-})$, we found that they have comparable rates due to additional contributions to the $a_0{\rho }^{-}$ mode from the $a_0^0$ emission. (v) The predicted central value of $Br(\bar B^0\to\ov K^{*0}_0(1430)ϕ)$ is larger than experiment, though it can be accommodated within theoretical errors. The decays $B\to K_0^{\ast }(1430)\rho$ are expected to have rates substantially larger than that of $B\to K_0^{\ast }(1430)\pi$ owing to the constructive (destructive) interference between the $a_4$ and $a_6$ penguin terms in the former (latter). Experimentally, it is thus important to check if the $B\to K_0^{\ast }\rho$ modes are enhanced relative to the corresponding $K_0^{\ast }\pi$ channels.

21 pages, 1 figure

References in corpus (37)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Final State Interactions in Hadronic B Decays
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Scalar mesons above and below 1 GeV
• The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• B->V gamma Beyond QCD Factorisation
• Light Meson Spectroscopy
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Charmless Three-body Decays of B Mesons
• Scalar Particles in Lattice QCD
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Hadronic D Decays Involving Scalar Mesons
• Scaling of Non-Perturbatively O(a) Improved Wilson Fermions: Hadron Spectrum, Quark Masses and Decay Constants
• Excited hadrons on the lattice: Mesons
• Chiral Loops and Ghost States in the Quenched Scalar Propagator
• Scalar meson in dynamical and partially quenched two-flavor QCD: lattice results and chiral loops
• Partial Wave Analysis of ${\chi }_{c0}\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$
• 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
• Measurements of branching fractions, polarizations, and direct CP-violation asymmetries in B --> rho K* and B --> f0(980) K* decays
• Vector-Tensor and Vector-Vector Decay Amplitude Analysis of B0->phi K*0
• Study of $K_0^{\ast }(1430)$ and $a_0(980)$ from $B\to K_0^{\ast }(1430)\pi$ and $B\to a_0(980)K$ Decays
• Masses of singlet and non-singlet 0++ particles
• Measurements of branching fraction, polarization, and charge asymmetry of B+ --> rho+ rho0 and a search for B+ --> rho+ f0(980)
• Expectations on $B\to (K_0^{\ast }(1430),K_2^{\ast }(1430))\varphi$ decays
• Quenched KS light hadron mass at β=6.5 on a 64\times 48^3 lattice
• B Meson Decays to mega K*, omega rho, omega omega, omega phi, and omega f0
• Evidence for B0->rho0rho0 Decay and Implications for the CKM Angle alpha

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