论文标题

$ \ Mathcal {O}(α_Sα^2)$的混合EW-QCD领先的费米子三环校正

Mixed EW-QCD leading fermionic three-loop corrections at $\mathcal{O}(α_sα^2)$ to electroweak precision observables

论文作者

Chen, Lisong, Freitas, Ayres

论文摘要

在将来的电子 - 峰值山脉(例如CEPC,FCC-EE和ILC)上的Electroweak Precision可观测值的测量将对多TEV量表的物理敏感。为了达到这种敏感性,需要对这些可观察到的标准模型期望进行精确预测,包括在三环和四环级别进行校正。在本文中,提出了结果,用于计算三环混合电动QCD校正的子集,该校正是由带有gluon交换的图和两个封闭的费米子环的图。这些校正的数值影响被说明了许多应用:从费米常数中预测W玻璃体质量,有效的弱混合角以及Z玻色子的部分和总宽度。考虑到顶级质量质量的两个替代性重量化方案,壳和$ \ overline {\ mbox {ms}} $。

Measurements of electroweak precision observables at future electron-positron colliders, such as the CEPC, FCC-ee, and ILC, will be sensitive to physics at multi-TeV scales. To achieve this sensitivity, precise predictions for the Standard Model expectations of these observables are needed, including corrections at the three- and four-loop level. In this article, results are presented for the calculation of a subset of three-loop mixed electroweak-QCD corrections, stemming from diagrams with a gluon exchange and two closed fermion loops. The numerical impact of these corrections is illustrated for a number of applications: the prediction of the W-boson mass from the Fermi constant, the effective weak mixing angle, and the partial and total widths of the Z boson. Two alternative renormalization schemes for the top-quark mass are considered, on-shell and $\overline{\mbox{MS}}$.

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