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Model-independent electroweak penguins in B decays to two pseudoscalars
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abstract
We study the effects of electroweak penguin (EWP) amplitudes in $B$ meson decays into two charmless pseudoscalars in the approximation of retaining only the dominant EWP operators $Q_9$ and $Q_{10}$. Using flavor SU(3) symmetry, we derive a set of model-independent relations between EWP contributions and tree-level decay amplitudes one of which was noted recently by Neubert and Rosner. Two new applications of these relations are demonstrated in which uncertainties due to EWP corrections are eliminated in order to determine a weak phase. Whereas the weak angle $\alpha$ can be obtained from $B\to\pi\pi$ free of hadronic uncertainties, a determination of $\gamma$ from $B^{0,\pm}\to K\pi^{\pm}$ requires the knowledge of a ratio of certain tree-level hadronic matrix elements. The smallness of this ratio implies a useful constraint on $\gamma$ if rescattering can be neglected.
Forward citations
Cited by 5 Pith papers
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Isospin-based EWP-tree Relations
Under isospin alone, electroweak-penguin diagrams in B→πK decays are proportional to tree diagrams with roles swapped relative to SU(3)_F, yielding an exact CP-asymmetry sum rule and a 4-5σ B→πK discrepancy with the S...
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Anomalies in Hadronic $B \to VV$ Decays
Charmless B→VV decays under SU(3)_F show 5.2σ tension for ρ,K* modes and >7σ when ϕ and ω are included, while isospin-only ρK* fits remain acceptable.
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Flavor Violations in $B$-Mesons within Non-Minimal SU(5)
A non-minimal SU(5) model with R2 leptoquark and S6 diquark is fitted to B-decay anomalies in b→cτν, B→Kπ, and B→Kνν, but the benchmark B→Kνν rate rises only about 3.5% above the Standard Model.
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Anomalies in Hadronic $B$ Decays
A review of SU(3)_F fits to B->PP decays reports a 3.6 to 5.2 sigma discrepancy with the Standard Model, hinting at new physics, but realistic SU(3) breaking remains uncalculated.
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Comment on "QCD-factorization amplitudes from flavour symmetries: beyond the $SU(3)$ symmetric case''
The authors argue that ETRs follow automatically from SU(3) group theory and identify weaknesses in a recent QCD-factorization fit that omitted them.
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