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Anomalies in hadronic $B$ decays: An update

https://doi.org/10.1103/5jp1-7cfw

Bhattacharya, Bhubanjyoti; Bouchard, Marianne; Hudy, Luke; Jean, Alexandre; London, David; MacKenzie, Christopher (September 2025, Physical Review D)

Recently, $B \to P P$ decays ( $B = {B^{0}, B^{+}, B_{s}^{0}}$ , $P = {π, K}$ ) were analyzed under the assumption of flavor SU(3) symmetry ( ${SU (3)}_{F}$ ). Although the individual fits to $Δ S = 0$ or $Δ S = 1$ decays are good, it was found that the combined fit is very poor: there is a $3.6 σ$ disagreement with the ${SU (3)}_{F}$ limit of the standard model ( ${SM}_{{SU (3)}_{F}}$ ). One can remove this discrepancy by adding ${SU (3)}_{F}$ -breaking effects, but 1000% ${SU (3)}_{F}$ breaking is required. In this paper, we extend this analysis to include decays in which there is an $η$ and/or $η^{'}$ meson in the final state. We now find that the combined fit exhibits a $4.1 σ$ discrepancy with the ${SM}_{{SU (3)}_{F}}$ , and 1000% ${SU (3)}_{F}$ -breaking effects are still required to explain the data. These results are rigorous, group-theoretically—no theoretical assumptions have been made. But when one adds some theoretical input motivated by QCD factorization, the discrepancy with the ${SM}_{{SU (3)}_{F}}$ grows to $4.9 σ$ .
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Free, publicly-accessible full text available September 15, 2026
Anomalies in Hadronic $B$ Decays

https://doi.org/10.1103/PhysRevLett.133.211802

Berthiaume, Raphaël; Bhattacharya, Bhubanjyoti; Boumris, Rida; Jean, Alexandre; Kumbhakar, Suman; London, David (November 2024, Physical Review Letters)

In this Letter, we perform fits to $B \to P P$ decays, where $B = {B^{0}, B^{+}, B_{s}^{0}}$ and the pseudoscalar $P = {π, K}$ , under the assumption of flavor SU(3) symmetry [ ${SU (3)}_{F}$ ]. Although the fits to $Δ S = 0$ or $Δ S = 1$ decays individually are good, the combined fit is very poor: there is a $3.6 σ$ disagreement with the ${SU (3)}_{F}$ limit of the standard model ( ${SM}_{{SU (3)}_{F}}$ ). 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 ${SM}_{{SU (3)}_{F}}$ grows to $4.4 σ$ . Published by the American Physical Society2024
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Free, publicly-accessible full text available November 21, 2025
Charmless B → PPP decays: The fully antisymmetric final state

https://doi.org/10.1103/PhysRevD.109.013001

Bhattacharya, Bhubanjyoti; Fines-Neuschild, Mirjam; Houck, Andrea; Imbeault, Maxime; Jean, Alexandre; London, David (January 2024, Physical Review D)

Under flavor SU(3) symmetry (SU(3)_F), the final-state particles in B → PPP decays (P is a pseudoscalar meson) are treated as identical, and the PPP must be in a fully-symmetric(FS) state, a fully-antisymmetric (FA) state, or in one of four mixed states. In this paper, we present the formalism for the FA states. We write the amplitudes for the 22 B → PPP decays that can be in an FA state in terms of both the SU(3)_F reduced matrix elements and diagrams. This shows the equivalence of diagrams and SU(3)_F. We also give 15 relations among the amplitudes in the SU(3)_F limit as well as the additional four that appear when the diagrams E/A/PA are neglected. We present sets of B → PPP decays that can be used to extract γ using the FA amplitudes. The value(s) of γ found in this way can be compared with the value(s) found using the FS states.
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