螺旋度-同位旋约定匹配对从 $B^0\to(\rho\pi)^0$ 提取 $\alpha$ 的影响
Impact of Helicity-Isospin Convention Matching on the Extraction of $α$ from $B^0\to(ρπ)^0$
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中文总结 AI 辅助
本研究修正了 $B^0\to(\rho\pi)^0$ 衰变中螺旋度约定与同位旋分析的不匹配,将直接与间接确定的 $\alpha$ 角张力从 $2.9\sigma$ 降至 $2.1\sigma$,并给出新的直接确定值 $(87.0^{+11.8}_{-4.7})^\circ$。
中文摘要 AI 辅助
我们证明,在 $B^0\to(\rho\pi)^0$ 衰变的时间依赖Dalitz图测量中使用的 $\rho\to\pi\pi$ 螺旋度约定与后续同位旋分析中假设的约定不匹配。一旦修正,从这些衰变直接确定的幺正三角形角 $\alpha$ 与全局拟合间接确定值之间的张力从 $2.9\sigma$ 降至 $2.1\sigma$。结合 $B\to\pi\pi$ 和 $B\to\rho\rho$ 模式,直接确定值变为 $\alpha = (87.0^{+11.8}_{-4.7})^\circ$,而原始世界平均值为 $(84.1^{+3.7}_{-3.0})^\circ$。
英文摘要
We show that the $ρ\toππ$ helicity convention used in the time-dependent Dalitz-plot measurements of $B^0\to(ρπ)^0$ decays does not match the convention assumed in the subsequent isospin analysis. Once corrected, the tension between the direct determination of the unitarity-triangle angle $α$ from these decays and its indirect determination from global fits decreases from $2.9σ$ to $2.1σ$. Combined with the $B\toππ$ and $B\toρρ$ modes, the direct determination becomes $α= (87.0^{+11.8}_{-4.7})^\circ$, compared with the original world average $(84.1^{+3.7}_{-3.0})^\circ$.
发表机构
- Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University(查理大学数学与物理学院粒子与核物理研究所)
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