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A precise sum rule among four B -> Kpi CP asymmetries
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abstract
A sum rule relation is proposed for direct CP asymmetries in $B\to K\pi$ decays. Leading terms are identical in the isospin symmetry limit, while subleading terms are equal in the flavor SU(3) and heavy quark limits. The sum rule predicts $A_{\rm CP}(B^0\to K^0\pi^0)=-0.17 \pm 0.06$ using current asymmetry measurements for the other three $B\to K\pi$ decays. A violation of the sum rule would be evidence for New Physics in $b\to s\bar qq$ transitions.
Forward citations
Cited by 7 Pith papers
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First observation of $CP$ violation and measurement of polarization in $B^+\to\rho(770)^0 K^*(892)^+$ decays
First observation of CP violation in B+ to rho(770)^0 K*(892)+ decays with A_CP = 0.507 and longitudinal polarization fraction f_L = 0.720 from 9 fb^-1 of LHCb data.
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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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Axion-like particles and sterile neutrinos solve the $B\to K\nu\bar\nu$ and $B\to \pi K$ puzzles
A minimal ALP model with mass near the pi0, couplings to photons, top quarks, and a sterile neutrino explains the B to K inv excess via off-shell sterile neutrino pairs and B to pi K anomalies via pi0 mixing.
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Precision measurement of CP violation and branching fractions in $B^{\pm} \to K^0_{\mathrm{S}} h^{\pm}$ $(h = \pi, K)$ decays and search for the rare decay $B_c^{\pm} \to K^0_{\mathrm{S}} K^{\pm}$
Most precise CP asymmetry and branching ratio measurements for B± → K0S h± decays with no significant signal observed for the rare Bc decay.
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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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