Revisiting charmless hadronic B decays to scalar mesons

Abstract

Hadronic charmless B decays to scalar mesons are studied within the framework of QCD factorization (QCDF). Considering two different scenarios for scalar mesons above 1 GeV, we find that the data favor the scenario in which the scalars $a_0(1450)$ and $K_0^{\ast }(1430)$ are the lowest lying $q\bar{q}$ bound states. This in turn implies a preferred four-quark nature for light scalars below 1 GeV. Assuming $K_0^{\ast }(1430)$ being a lowest lying $q\bar{s}$ state, we show that the data of $B\to K_0^{\ast }(1430){\eta }^{{(}^{\prime })}$ and $B\to K_0^{\ast }(1430)(\rho ,\omega ,\varphi )$ can be accommodated in QCDF without introducing power corrections induced from penguin annihilation, while the predicted $B^-\to \ov K_0^{*0}(1430)π^-$ and $\ov B^0\to K_0^{*-}(1430)π^+$ are too small compared to experiment. In principle, the data of $K_0^{\ast }(1430)\pi$ modes can be explained if penguin-annihilation induced power corrections are taken into account. However, this will destroy the agreement between theory and experiment for $B\to K_0^{\ast }(1430)({\eta }^{{(}^{\prime })},\rho ,\omega ,\varphi )$. Contrary to the pseudoscalar meson sector where $B\to K{\eta }^{\prime }$ has the largest rate in 2-body decays of the $B$ meson, we show that $Br(B\to K_0^*η')<\B(B\to K_0^*η)$. The decay $\ov B^0\to a_0(980)^+K^-$ is found to have a rate much smaller than that of $\ov B^0\to a_0(980)^+π^-$ in QCDF, while it is the other way around in pQCD. Experimental measurements of these two modes will help discriminate between these two different approaches. Assuming 2-quark bound states for $f_0(980)$ and $f_0(500)$, the observed large rates of $f_0(980)K$ and $f_0(980)K^{\ast }$ modes can be explained in QCDF with the $f_0(980)-f_0(500)$ mixing angle $\theta$ in the vicinity of $20^{\circ }$.

25 pages, 3 figures

References in corpus (15)

• B->V gamma Beyond QCD Factorisation
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?
• $B\to S$ Transition Form Factors in the PQCD approach
• Analysis of the resonant components in B0->J/ψpi+pi-
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• Charmless B decays to a scalar meson and a vector meson
• 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
• Lattice investigation of the scalar mesons a_0(980) and κ using four-quark operators
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• 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
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
• Analysis of rare (B -> K_0*(1430) l^+ l^- decay) within QCD sum rules
• Study of scalar meson a_0(1450) from B \to a_0(1450)K^* Decays
• CP Asymmetries in B to f_0 K_S Decays

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