标题： Two-Higgs双倍子模型超出树级：规范不变形式主义 显示英文标题

标题： The Two-Higgs Doublet Model beyond tree-level: A gauge-invariant formalism

摘要： 采用两Higgs双重模型（THDM）中的规范不变形式提供了对该模型基本结构的深刻见解。 一组特定的规范不变双线性组合，由Higgs双重子构建而成，建立了双重子场分量与实值双线性之间的对应关系。 这种形式提供了一个紧凑且一致的框架来研究THDM的各种方面，包括稳定性、电弱对称破缺、基变换以及Higgs势的一般对称性。 最近，双线性形式被扩展到超越Higgs势范围，涵盖了完整的THDM，包括规范和Yukawa部分，所有这些都是以规范不变的形式表示的。 在这项工作中，我们通过纳入量子修正进一步推进了这一形式。 具体来说，我们展示了如何使用双线性结合$\hbar$-展开来计算一环修正。 我们提供了这些修正的简洁、规范不变的表达式，这些表达式可以直接应用于THDM。 显示英文摘要

摘要： Employing the gauge-invariant formalism in the two-Higgs-doublet model (THDM) offers profound insights into the model's fundamental structure. A specific set of gauge-invariant bilinear combinations, constructed from the Higgs doublets, establishes a one-to-one correspondence between the components of the doublet fields and real-valued bilinears. This formalism provides a compact and consistent framework to study various aspects of the THDM, including stability, electroweak symmetry breaking, basis transformations, and general symmetries of the Higgs potential. Recently, the bilinear formalism has been extended beyond the Higgs potential to encompass the full THDM, including the gauge and Yukawa sectors, all in gauge-invariant terms. In this work, we advance the formalism further by incorporating quantum corrections. Specifically, we show how bilinears, combined with the $\hbar$-expansion, can be used to compute one-loop corrections. We provide concise, gauge-invariant expressions for these corrections, which are directly applicable to the THDM.