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Anomalies in Hadronic $B$ Decays
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abstract
In this paper, we perform fits to $B \to PP$ decays, where $B = \{B^0, B^+, B_s^0\}$ and the pseudoscalar $P = \{\pi, K\}$, under the assumption of flavor SU(3) symmetry [SU(3)$_F$]. Although the fits to $\Delta S=0$ or $\Delta S=1$ decays individually are good, the combined fit is very poor: there is a $3.6\sigma$ disagreement with the SU(3)$_F$ limit of the standard model (SM$_{\rm{SU(3)}_F}$). One can remove this discrepancy by adding SU(3)$_F$-breaking effects, but 1000% SU(3)$_F$ breaking is required. The above results are rigorous, group-theoretically - no dynamical assumptions have been made. When one adds an assumption motivated by QCD factorization, the discrepancy with the SM$_{\rm{SU(3)}_F}$ grows to $4.4\sigma$.
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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Polarisation fractions in $B\to V_1 V_2$: U-Spin constraints and new physics signatures
A global U-spin fit finds a severe Standard-Model tension in the longitudinal polarisation of Bs→K*0K*0 once the naive-factorisation helicity hierarchy is imposed, and simple b→s new-physics operators only partially r...
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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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