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• W2063308761 abstract "Charmless three-body decays of $B$ mesons are studied using a simple model based on the framework of the factorization approach. Hadronic three-body decays receive both resonant and nonresonant contributions. Dominant nonresonant contributions to tree-dominated three-body decays arise from the $bensuremath{rightarrow}u$ tree transition which can be evaluated using heavy-meson chiral perturbation theory valid in the soft-meson limit. For penguin-dominated decays, nonresonant signals come mainly from the penguin amplitude governed by the matrix elements of scalar densities $⟨{M}_{1}{M}_{2}|{overline{q}}_{1}{q}_{2}|0⟩$. We use the measurements of ${overline{B}}^{0}ensuremath{rightarrow}{K}_{S}{K}_{S}{K}_{S}$ to constrain the nonresonant component of $⟨Koverline{K}|overline{s}s|0⟩$. The intermediate vector-meson contributions to three-body decays are identified through the vector current, while the scalar-meson resonances are mainly associated with the scalar density. While the calculated direct $CP$ violation in ${B}^{ensuremath{-}}ensuremath{rightarrow}{K}^{+}{K}^{ensuremath{-}}{K}^{ensuremath{-}}$ and ${B}^{ensuremath{-}}ensuremath{rightarrow}{ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}{ensuremath{pi}}^{ensuremath{-}}$ decays agrees well with experiment in both magnitude and sign, the predicted $CP$ asymmetries in ${B}^{ensuremath{-}}ensuremath{rightarrow}{ensuremath{pi}}^{ensuremath{-}}{K}^{+}{K}^{ensuremath{-}}$ and ${B}^{ensuremath{-}}ensuremath{rightarrow}{K}^{ensuremath{-}}{ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}$ have incorrect signs when confronted with experiment. It has been conjectured recently that a possible resolution to this $CP$ puzzle may rely on final-state rescattering of ${ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}$ and ${K}^{+}{K}^{ensuremath{-}}$. Assuming a large strong phase associated with the matrix element $⟨Kensuremath{pi}|overline{s}q|0⟩$ arising from some sort of power corrections, we fit it to the data of ${K}^{ensuremath{-}}{ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}$ and find a correct sign for ${ensuremath{pi}}^{ensuremath{-}}{K}^{+}{K}^{ensuremath{-}}$. We predict some testable $CP$ violation in ${overline{B}}^{0}ensuremath{rightarrow}{K}^{+}{K}^{ensuremath{-}}{ensuremath{pi}}^{0}$ and ${K}^{+}{K}^{ensuremath{-}}{K}_{S}$. In the low-mass regions of the Dalitz plot, we find that the regional $CP$ violation is indeed largely enhanced with respect to the inclusive one, though it is still significantly below the data. In this work, strong phases arise from effective Wilson coefficients, propagators of resonances, and the matrix element of the scalar density $⟨{M}_{1}{M}_{2}|{overline{q}}_{1}{q}_{2}|0⟩$." @default.
• W2063308761 created "2016-06-24" @default.
• W2063308761 creator A5001877298 @default.
• W2063308761 creator A5001987363 @default.
• W2063308761 date "2013-12-03" @default.
• W2063308761 modified "2023-10-17" @default.
• W2063308761 title "Branching fractions and direct<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>violation in charmless three-body decays of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>B</mml:mi></mml:math>mesons" @default.
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• W2063308761 doi "https://doi.org/10.1103/physrevd.88.114014" @default.
• W2063308761 hasPublicationYear "2013" @default.
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