论文标题
可统计运算符的两层匹配：一般考虑和应用
Two-loop matching of renormalizable operators: general considerations and applications
论文作者
论文摘要
低能量有效的场理论（EFT）编码有关高能物理的信息 - 即高能理论（HET）。要提取此信息，必须将EFT和HET相互匹配。在一环级别上，文献中已经获得了可匹配的可重新分析运营商的一般结果。在本文中，我们朝着更好地理解在两环级别上匹配的可重新分配运算符的一步：专注于示意图方法，我们详细讨论了对两环匹配条件的各种贡献，并比较了不同的方法来得出它们。此外，我们讨论哪种可观察物最适合匹配条件的推导。作为一个具体的应用，我们计算$ \ MATHCAL {o} \ left（α_tα_s\右）$和$ \ \ \ \ \ \ \ \ \ \ \ mathcal {o} \ left（α_t^2 \ right）$匹配条件的标量量表的标准级偶数（sm）和两型型模型（sm）和两型型模型（thd-him and thd-hiim and thd-doupt and thd-doupt dound doupt）（超对称标准模型（MSSM）。我们使用派生的公式使用THDM作为EFT来改善MSSM中SM样希格斯质量的预测。
Low-energy effective field theories (EFT) encode information about the physics at high energies--i.e., the high-energy theory (HET). To extract this information the EFT and the HET have to be matched to each other. At the one-loop level, general results for the matching of renormalizable operators have already been obtained in the literature. In the present paper, we take a step towards a better understanding of renormalizable operator matching at the two-loop level: Focusing on the diagrammatic method, we discuss in detail the various contributions to two-loop matching conditions and compare different approaches to derive them. Moreover, we discuss which observables are best suited for the derivation of matching conditions. As a concrete application, we calculate the $\mathcal{O}\left(α_t α_s \right)$ and $\mathcal{O} \left(α_t^2 \right)$ matching conditions of the scalar four-point couplings between the Standard Model (SM) and the Two-Higgs-Doublet Model (THDM) as well as the THDM and the Minimal Supersymmetric Standard Model (MSSM). We use the derived formulas to improve the prediction of the SM-like Higgs mass in the MSSM using the THDM as EFT.
