UV contributions to energy of a static quark-antiquark pair in large ${\beta }_0$ approximation

Yuuki Hayashi, Yukinari Sumino

The total energy of a static quark-antiquark pair $E_{\mathrm{tot}}(r)=2m_{\mathrm{pole}}+V_{\mathrm{QCD}}(r)$ is known to be predictable up to $\mathcal{O}({\Lambda }_{\mathrm{QCD}}^3{r}^2)$ and ${\cal O}(\frac{Λ…