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强子 $B \to VV$ 衰变中的反常现象

Anomalies in Hadronic $B \to VV$ Decays

Bhubanjyoti Bhattacharya, Marianne Bouchard, Alexandre Jean, David London, Ipsita Ray

arXiv 2607.27202首次发表:更新:

AI 中文总结

针对味SU(3)对称性下无粲B→PP衰变与标准模型存在4.1σ分歧的问题,本文将分析扩展至无粲B→VV衰变,发现仅考虑B→ρK*衰变时结果可接受,而考虑更多VV衰变模式时与标准模型的分歧达5.2σ甚至7σ以上,结果严格且需验证SU(3)破缺效应能否解释该分歧。

AI 中文摘要

最近,在味 SU(3) 对称性($SU(3)_F$)假设下,对最新数据中无粲 $B\to PP$ 衰变($B$ 属于 $\{B^0, B^+, B_s^0\}$,$P$ 属于 $\{\pi, K, \eta, \eta'\}$)进行了拟合,发现其与标准模型的 SU(3)$_F$ 极限($\rm SM_{SU(3)_F}$)存在 $4.1\sigma$ 的分歧。本文将该分析扩展至无粲 $B \to VV$ 衰变($V$ 属于 $\{\rho, K^*, \phi, \omega\}$)。仅假设同位旋对称性对 $B \to \rho K^*$ 衰变进行拟合时,结果可接受;当在 $SU(3)_F$ 范围内对 $V$ 属于 $\{\rho, K^*\\

英文摘要

Recently, a fit of charmless $B\to PP$ decays ($B \in \{B^0, B^+, B_s^0\}$, $P \in \{ π, K, η, η' \}$) to the latest data was performed under the assumption of flavour SU(3) symmetry [SU(3)$_F$]. It was found that there is a $4.1σ$ disagreement with the SU(3)$_F$ limit of the Standard Model [$\rm SM_{SU(3)_F}$]. In this paper, we extend this analysis to charmless $B \to VV$ decays ($V \in \{ρ, K^*, ϕ, ω\}$). The fit examining $B \to ρK^*$ decays, assuming only isospin symmetry, is found to be acceptable. When we fit to $B \to VV$ decays with $V \in \{ ρ, K^* \}$ within SU(3)$_F$, we find a $5.2σ$ discrepancy with SM$_{SU(3)_F}$. Finally, when $B \to VV$ decays with $V \in \{ ρ, K^*, ϕ, ω\}$ are considered, the discrepancy grows to $>7σ$. The theoretical input in this analysis is modest, so our results are quite rigorous, group theoretically, and hold almost exactly in the SU(3)$_F$ limit. Although it seems unlikely that the introduction of $\sim 30$% SU(3)$_F$-breaking effects can account for this discrepancy, this must be verified.

Comments39 pages, 1 figure

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