论文标题
在低能确定$α_s$中违反夸克 - 戴隆二元性
Violations of Quark-Hadron Duality in Low-Energy Determinations of $α_s$
论文作者
论文摘要
使用$τ$衰减中测得的光谱函数，我们研究了违规对二元性的实际数值影响对提取强耦合的提取。这些效果在标准的$α_s（M_τ2）中很小，来自具有捏合重量的HADRONIC光谱的集成分布或总$τ$ HADRONIC宽度的确定。捏合的重量因素非常有效地抑制了对二元性的行为，与较大的扰动不确定性相比，它们的数值效应可以忽略不计。但是，以非保护权重执行的$α_s$和双重侵入参数的组合拟合受到与二元侵入效应的假定建模相关的大型系统误差。这些不确定性尚未根据夸克 - 戴隆二元模型的特定模型在已发布的分析中考虑到。
Using the spectral functions measured in $τ$ decays, we investigate the actual numerical impact of duality violations on the extraction of the strong coupling. These effects are tiny in the standard $α_s(m_τ^2)$ determinations from integrated distributions of the hadronic spectrum with pinched weights, or from the total $τ$ hadronic width. The pinched-weight factors suppress very efficiently the violations of duality, making their numerical effects negligible in comparison with the larger perturbative uncertainties. However, combined fits of $α_s$ and duality-violation parameters, performed with non-protected weights, are subject to large systematic errors associated with the assumed modelling of duality-violation effects. These uncertainties have not been taken into account in the published analyses, based on specific models of quark-hadron duality.
