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Decays of $B$ Mesons to Two Light Pseudoscalars
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abstract
The decays $B \to PP$, where $P$ denotes a pseudoscalar meson, are analyzed, with emphasis on charmless final states. Numerous triangle relations for amplitudes hold within SU(3) symmetry, relating (for example) the decays $B^+ \to \pi^+ \pi^0,~ \pi^0 K^+$, and $\pi^+ K^0$. Such relations can improve the possibilities for early detection of $CP$-violating asymmetries. Within the context of a graphical analysis of decays, relations are analyzed among SU(3) amplitudes which hold if some graphs are neglected. One application is that measurements of the rates for the above three $B^+$ decays and their charge-conjugates can be used to determine a weak CKM phase. With measurements of the remaining rates for $B$ decays to $\pi \pi,~\pi K$, and $K \bar K$, one can obtain two CKM phases and several differences of strong phase shifts.
Forward citations
Cited by 9 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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Hilbert Series of Pseudoscalar Mesons: Operators and Sum Rules
A Hilbert series construction yields the complete four-meson, two-derivative operator basis with CKM spurions, from which all leading-order B to pseudoscalar decay sum rules follow as null vectors.
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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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A Phenomenological Model of Mesons for Charged Current Weak Decays
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
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Flavor SU(3) analysis of the charmless semileptonic $B \to PV\ell^+\nu_\ell$ decays
The paper predicts branching ratios of charmless B to PV l nu decays mediated by axial-vector, tensor, and excited vector resonances using SU(3) flavor symmetry, finding several modes at 10^-4 to 10^-3.
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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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Studying the tensor resonance contributions in $B \to PP\ell^+\ell^-$ and $B \to PV\ell^+\ell^-$ decays
Tensor-resonance contributions to B → PPℓ⁺ℓ⁻ and B → PVℓ⁺ℓ⁻ are small compared with measured totals once SU(3)-related B → Tℓ⁺ℓ⁻ rates are fixed to Bs → f′₂(1525)μ⁺μ⁻.
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Two-body charmed anti-charmed baryonic $B$ decays
Topological decomposition of amplitudes for B to charmed baryon anti-baryon decays yields predictions for several channels after fitting 35% SU(3) breaking effects to existing data, with large cancellations noted in s...
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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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