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Unification of Flavor SU(3) Analyses of Heavy Hadron Weak Decays
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abstract
Analyses of heavy mesons and baryons hadronic charmless decays using the flavor SU(3) symemtry can be formulated in two different forms. One is to construct the SU(3) irreducible representation amplitude (IRA) by decomposing effective Hamiltonian, and the other is to draw the topological diagrams (TDA). In the flavor SU(3) limit, we study various $B/D\to PP,VP,VV$, $B_c\to DP/DV$ decays, and two-body nonleptonic decays of beauty/charm baryons, and demonstrate that when all terms are included these two ways of analyzing the decay amplitudes are completely equivalent. Furthermore we clarify some confusions in drawing topological diagrams using different ways of describing beauty/charm baryons.
Forward citations
Cited by 3 Pith papers
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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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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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SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays
An SU(3)-based fit with strange-quark-mass corrections reproduces most hyperon decay data, but leaves a weak 1-sigma deviation in Sigma+ to p pi0 that the authors interpret as a possible sign of new physics.
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