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arXiv 1503.02138hep-phhep-th
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标准模型中的双圈电弱阈值修正

Two-loop electroweak threshold corrections in the Standard Model

Bernd A. Kniehl, Andrey F. Pikelner, Oleg L. Veretin

摘要:

研究了在标准模型下全阶${\cal O}(α^2)$情形下,在壳层重整化方案的基本参数与$\overline{\mathrm{MS}}$方案的基本参数之间的关系。这些作为阈值校正进入重整化群分析,例如,真空稳定性的研究。为了确保规范的参数,特别是$\overline{\mathrm{MS}}$质量的不变性,我们工作在$R_ξ$规范和系统地包括蝌蚪的贡献。我们还考虑了无规范极限近似,并将其与全双圈电弱计算进行了比较。

英文摘要:

We study the relationships between the basic parameters of the on-shell renormalization scheme and their counterparts in the $\overline{\mathrm{MS}}$ scheme at full order ${\cal O}(α^2)$ in the Standard Model. These enter as threshold corrections the renormalization group analyses underlying, e.g., the investigation of the vacuum stability. To ensure the gauge invariance of the parameters, in particular of the $\overline{\mathrm{MS}}$ masses, we work in $R_ξ$ gauge and systematically include tadpole contributions. We also consider the gaugeless-limit approximation and compare it with the full two-loop electroweak calculation.

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