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.
Decays of $B$ Mesons to Two Light Pseudoscalars
5 Pith papers cite this work. Polarity classification is still indexing.
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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.
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hep-ph 5representative citing papers
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 Standard Model.
A data-driven SU(3)-breaking analysis of B to PP decays yields QCD-factorization amplitudes that resemble dynamical predictions and require no enhanced annihilation terms.
Topological amplitude decomposition of two-body B→B_c B̄_c decays with modeled SU(3) breaking fits 9 measured branching ratios and predicts rates for unmeasured modes, finding 35% SU(3) breaking and sizable W-exchange contributions.
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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Two-body charmed anti-charmed baryonic $B$ decays
Topological amplitude decomposition of two-body B→B_c B̄_c decays with modeled SU(3) breaking fits 9 measured branching ratios and predicts rates for unmeasured modes, finding 35% SU(3) breaking and sizable W-exchange contributions.