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τ强衰变数据单举味破缺求和规则分析中低Vus值疑难的一个解决方案

A resolution of the puzzle of low Vus values from inclusive flavor-breaking sum rule analyses of hadronic τ decay data

  • 摘要: 在应用单举τ强衰变数据由求和规则来确定Vus中,连续和格点方法用于研究系统问题.采用此方法先前常规使用的D>4 OPE贡献的假设得到的Vus表明对求和权重w和相关实验谱积分的上限选择s0的非物理依赖.连续的和格点的结果表明这是一个不仅使用|Vus|并且使用D>4有效凝聚的拟合数据的求和规则方法.格点结果也提供了一个对缓慢收敛的D=2 OPE序列的缩短不确定性的定量评估.新求和规则的应用得到的|Vus|结果没有非物理的s0和w依赖性并且比常规方法得到的值要高~0002 0.利用初步的新Kπ分支比实验结果得到的|Vus|与基于Kl3的结果高度一致,并且与三代归一性的预测结果相比在误差范围内符合.

     

    Abstract: Continuum and lattice methods are used to investigate systematic issues in the sum rule determination of Vus using inclusive hadronic τ decay data. Results for Vus employing assumptions for D>4 OPE contributions used in previous conventional implementations of this approach are shown to display unphysical dependence on the sum rule weight, w, and choice of upper limit, s0, of the relevant experimental spectral integrals. Continuum and lattice results suggest a new implementation of the sum rule approach with not just |Vus|, but also D>4 effective condensates fit to data. Lattice results are also shown to provide a quantitative assessment of truncation uncertainties for the slowly converging D=2 OPE series. The new sum rule implementation yields |Vus| results free of unphysical s0- and w-dependences and ~0.002 0 higher than that obtained using the conventional implementation. With preliminary new experimental results for the Kπ branching fraction, the resulting |Vus| is in excellent agreement with that based on Kl3, and compatible within errors with expectations from three-family unitarity.

     

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