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arXiv 2205.07587hep-phhep-ex
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$α_s$低能测定中夸克-强子对偶性的破坏

Violations of Quark-Hadron Duality in Low-Energy Determinations of $α_s$

Antonio Pich, Antonio Rodríguez-Sánchez

摘要:

利用在$τ$衰变中测得的谱函数,我们研究了强耦合提取中对偶违反的实际数值影响。这些影响是微小的,在标准的$α_s(m_τ^2)$的决定,从积分分布的强子谱与箍缩重量,或从总$τ$强子宽度。夹权因子非常有效地抑制了对偶性的违反,使得它们的数值效应与较大的扰动不确定性相比可以忽略不计。然而,组合拟合的$α_s$和双重违反参数,与非保护的权重,受到大的系统误差与双重违反效应的假设建模。这些不确定性没有考虑到在已发表的分析,根据特定的模型夸克强子的二重性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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