论文标题
从高空近似近似到静态夸克式群的能量的$α（m_z）$确定
Determination of $α(M_z)$ from an hyperasymptotic approximation to the energy of a static quark-antiquark pair
论文作者
论文摘要
我们给出了静态夸克 - 易夸克对能量的高氧化膨胀，其精度包括统一的肾上腺素的作用。必要时将与第一和第二肾术相关的终端纳入分析中。特别是，我们确定了力的统一，因此，静态电位的肾上腺素肾上腺肾上腺素的归一化。我们获得$ z_3^f（n_f = 3）= 2z_3^v（n_f = 3）= 0.37（17）$。在严格的扰动理论中，我们达到的精度是临时到接头的对数重量重照订单，既有静态电位和力量。我们发现，在拟合静态能量的短距离晶格数据时，强制性地确定了大型对数的重新召集以及与雷诺马龙相关的领先终端的包含，以获得$λ_{\ overline {\ rm MS}} $的准确确定。我们获得$λ_ {\ Overline {\ rm MS}}}^{（n_f = 3）} = 338（12）$ MEV和$α（M_z）= 0.1181（9）$。我们还发现了强有力的一致性检查，即可以在我们研究过的能量范围内以弱耦合计算静态能量的超速校正。
We give the hyperasymptotic expansion of the energy of a static quark-antiquark pair with a precision that includes the effects of the subleading renormalon. The terminants associated to the first and second renormalon are incorporated in the analysis when necessary. In particular, we determine the normalization of the leading renormalon of the force and, consequently, of the subleading renormalon of the static potential. We obtain $Z_3^F(n_f=3)=2Z_3^V(n_f=3)=0.37(17)$. The precision we reach in strict perturbation theory is next-to-next-to-next-to-leading logarithmic resummed order both for the static potential and for the force. We find that the resummation of large logarithms and the inclusion of the leading terminants associated to the renormalons are compulsory to get accurate determinations of $Λ_{\overline{\rm MS}}$ when fitting to short-distance lattice data of the static energy. We obtain $Λ_{\overline{\rm MS}}^{(n_f=3)}=338(12)$ MeV and $α(M_z)=0.1181(9)$. We have also found strong consistency checks that the ultrasoft correction to the static energy can be computed at weak coupling in the energy range we have studied.
