论文标题
借助最大整合性原则的帮助，通过其扰动关系来确定顶级$ \ overline {\ rm ms} $通过其扰动性关系来确定质量
Determination of the top-quark $\overline{\rm MS}$ running mass via its perturbative relation to the on-shell mass with the help of principle of maximum conformality
论文作者
论文摘要
在本文中，我们通过使用四环$ \ operline {\ rm MS} $ - 壳上的相互关系和最大相结合原则（PMC）规模尺度确定方法，研究了从其壳体质量计算的质量的顶级$ \ overline {\ rm ms} $的属性。 PMC采用重新归一化组方程来设置扰动序列强效耦合的正确幅度，其预测避免了常规的翻新量表歧义歧义，因此可以实现更精确的PQCD预测。将PMC应用于四环$ \叠加{\ rm MS} $ - 固定关系，并将最高的shell shell质量$ m_t = 172.9 \ pm0.4 $ gev作为输入，我们获得了重新分配规模scale-Invariant scale-invariant $ \ + edmiant $ \ repline \ repline {\ rm ms} $ s $ s $ s $ m__， $ m_t（m_t）\ simeq 162.6 \ pm 0.4 $ gev，其中错误是$Δα_s（m_z）$，$Δm_t$的平均值，以及使用padé近似方法预测的未计算的五循环项中的近似错误。
In the paper, we study the properties of the top-quark $\overline{\rm MS}$ running mass computed from its on-shell mass by using both the four-loop $\overline{\rm MS}$-on-shell relation and the principle of maximum conformality (PMC) scale-setting approach. The PMC adopts the renormalization group equation to set the correct magnitude of the strong running coupling of the perturbative series, its prediction avoids the conventional renormalization scale ambiguity, and thus a more precise pQCD prediction can be achieved. After applying the PMC to the four-loop $\overline{\rm MS}$-on-shell relation and taking the top-quark on-shell mass $M_t=172.9\pm0.4$ GeV as an input, we obtain the renormalization scale-invariant $\overline{\rm MS}$ running mass at the scale $m_t$, e.g., $m_t(m_t)\simeq 162.6\pm 0.4$ GeV, in which the error is the squared average of those from $Δα_s(M_Z)$, $ΔM_t$, and the approximate error from the uncalculated five-loop terms predicted by using the Padé approximation approach.
