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arXiv 1904.02563hep-ph
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大$β_0$近似下UV对静态夸克-反夸克对能量的贡献

UV contributions to energy of a static quark-antiquark pair in large $β_0$ approximation

Yuuki Hayashi, Yukinari Sumino

备注：
Version to appear in Physics Letters B, modification of the expression of delta_{G,0} is added; other modifications are minor, 10 pages, 4 figures
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摘要：

在大- $β_0$近似下，在消去${\cal O}(Λ_{\rm QCD})$重整化子后，静态夸克-反夸克对$E_{\rm tot}(r)=2m_{\rm pole}+V_{\rm QCD}(r)$的总能量在${\cal O}(Λ_{\rm QCD}^3 r^2)$和${\cal O}(\frac{Λ_{\rm QCD}^3}{\overline{m}^2})$重整化子不确定度范围内是可以预测的。我们计算的可预测的部分（真正的UV部分）的$\overline{\rm MS}$质量$\overline{m}$，扩展最近提出的方法，符合OPE。特别地，确定PDMATHAMT独立部分。这一结果将有助于理解$E_{\rm tot}(r)$在伴有renormalon减影的OPE背景下的性质。

英文摘要：

The total energy of a static quark-antiquark pair $E_{\rm tot}(r)=2m_{\rm pole}+V_{\rm QCD}(r)$ is known to be predictable up to ${\cal O}(Λ_{\rm QCD}^3 r^2)$ and ${\cal O}(\frac{Λ_{\rm QCD}^3}{\overline{m}^2})$ renormalon uncertainties in the large-$β_0$ approximation, after canceling ${\cal O}(Λ_{\rm QCD})$ renormalons. We compute the predictable part (genuine UV part) in terms of the $\overline{\rm MS}$ mass $\overline{m}$, extending a recently-proposed method which conforms with OPE. In particular the $r$-independent part is determined. The result would help understanding the nature of $E_{\rm tot}(r)$ in the context of OPE with renormalon subtraction.

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