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arXiv 2109.07538hep-ph
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对$τ^- \to π^- π^0 ν_τ$衰变和μ子$g-2$的同位旋破缺修正

Isospin-breaking corrections to $τ^- \to π^- π^0 ν_τ$ decays and the muon $g-2$

J. A. Miranda

摘要:

我们回顾了对$τ^- \to π^- π^0 ν_τ$衰变的同位旋破缺和电磁修正,这些衰变被用作反常磁矩($a_μ$)的强子真空极化(在LO)的2 π贡献的输入。我们扩展了Cirigliano等人先前的分析。作为一个结果,我们提高了这一决定和其他基于$e^+e^-$数据之间的协议。新的结果与使用矢量优势模型(VMD)的旧估计更好地一致,SM预测与BNL和FNAL的组合结果之间的差异减少到$\mathcal{O}(p^4)$的$2.1\,σ$和$\mathcal{O}(p^6)$的$2.3σ$。

英文摘要:

We review the isospin-breaking and electromagnetic corrections to the $τ^- \to π^- π^0 ν_τ$ decays, which are used as an input to the two-pion contributions to the hadronic vacuum polarization (at LO) of the anomalous magnetic moment ($a_μ$). We extend previous analyses by Cirigliano et al. working with ChPT with resonances. As an outcome, we improve the agreement between this determination and the other based on $e^+e^-$ data. The new results are in better agreement with an old estimation that uses Vector Dominance Model (VMD), and the discrepancy between the SM prediction and the combined results from BNL and FNAL is reduced to $2.1\,σ$ at $\mathcal{O}(p^4)$ and $2.3σ$ at $\mathcal{O}(p^6)$.

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