$B\to f_0(980)K$ Decays and Subleading Corrections

Abstract

The decay $B\to f_0(980)KisstudiedwithintheframeworkofQCDfactorizationandthetwo-quarkscenariofor$f_0(980)$.Therearetwodistinctpenguincontributionsandtheirinterferencedependsontheunknownmixingangle$θ$ofstrangeandnonstrangequarkcontentsof$f_0(980)$:destructivefor$0<θ<π/2$andconstructivefor$π/2<θ<π$.TheQCDsumrulemethodisappliedtoevaluatetheleading-twistlight-conedistributionamplitudesandthescalardecayconstantof$f_0$.Weconcludethattheshort-distanceapproachisnotadequatetoexplaintheobservedlargeratesof$f_0K^-$and$f_0\ov K^0$.Amongmanypossiblesubleadingcorrections,westudyandestimatethecontributionsfromthethree-partonFockstatesofthe$f_0$andfromtheintrinsicgluoninsidethe$B$meson.Itisfoundthatthespectatorgluonofthe$B$mesonmayplayaneminentrolefortheenhancementof$f_0(980)K$.Wepointoutthatif$f_0(980)$isafour-quarkstateaswidelyperceived,therewillexistextradiagramscontributingto$B\to f_0(980)K$.However,inpracticeitisdifficulttomakequantitativepredictionsbasedonthefour-quarkpicturefor$f_0(980)$asitinvolvesadditionalnonfactorizablecontributionsthataredifficulttoestimateandthecalculationsofthedecayconstantandformfactorsof$f_0(980)$ are beyond the conventional quark model.

arXiv comment28 pages, 10 figures. Experimental branching ratios of B-> f_0 K are updated, typos corrected and references added

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• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• CP-violating asymmetries in B^0 decays to K^+K^-K_{S(L)}^0 and K_S^0K_S^0K_{S(L)}^0
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• Factorization and NLO QCD correction in e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0} at B Factories}
• 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
• Study of Decay Modes B -->K_0^*(1430) phi
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• Study of scalar meson $a_0(980)$ from $B\to a_0(980)\pi$ Decays
• Implications of Family Nonuniversal $Z^{\prime }$ Model on B -->K_0^* pi Decays
• Probing new physics in B -> f_0(980) K decays
• Extracting CKM $\gamma$ phase from $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ and $B^0$, ${\bar{B}}^0\to K_s{\pi }^{+}{\pi }^{-}$
• Phenomenological studies on the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays
• $B \to f_0(980) (π,\etapp)$ Decays in the PQCD Approach
• A study of the gamma* - f0(980) transition form factors
• Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)ρ(ω,ϕ) Decays in the PQCD Approach
• CP Asymmetries in B to f_0 K_S Decays
• Quasi-two-body $B_{(s)}\to V\pi \pi$ Decays with Resonance $f_0(980)$ in PQCD Approach
• The perturbative QCD predictions for the decay B^{0}_{s}\rightarrow SS(a_{0}(980),f_{0}(980),f_{0}(500))
• Study of $CP$ Violations in $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ and $B^{-}\to K^{-}{f}_0(500)$ decays in the QCD factorization approach
• Constraint on the light quark mass $m_q$ from QCD Sum Rules in the $I=0$ scalar channel
• Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)πDecays in the PQCD Approach
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Investigating $B_s$ three-body decays to scalar mesons in perturbative QCD approach
• Study of f_0(980) and f_0(1500) from B_s \to f_0(980)K, f_0(1500)K Decays
• A Consistent Scenario for B to PS Decays
• Study of f_0(980) and f_0(1500) from B_s \to f_0(980)π, f_0(1500)πDecays
• Strong and Weak Interactions in B to pi+ pi- K Decays
• Instanton effects on the twist-three light-cone distribution amplitudes of pion and light scalar mesons above 1GeV
• Phenomenological studies on the ${\bar{B}}^0\to [K^{-}{\pi }^{+}{]}_{S/V}[{\pi }^{+}{\pi }^{-}{]}_{V/S}\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay