标题： 希格斯-轴子非微扰耦合的理论探测 显示英文标题

标题： Theoretical Probes of Higgs-Axion non-perturbative Couplings

摘要： 在本工作中，我们研究了几种非平凡的轴子-希格斯耦合的表观现象学含义，这些耦合涵盖了大部分可能的非微扰情景。 具体而言，我们考虑了来自弱耦合有效理论的高阶不可重正化希格斯-轴子耦合与形式为$\sim \epsilon \Lambda_c^2|H|^2\cos (\frac{\phi}{f_a})$的非微扰耦合的组合。 由于我们考虑的是对齐轴子，因此非微扰耦合可以展开为$\phi/f_a$的幂级数微扰展开，因此在电弱对称性破缺之后，这些项显著影响了轴子的有效势。 我们研究了这些项对于质量尺度$\Lambda_c$的各种值的表观现象学含义，一些情景在理论上不被青睐，而其他具有形式为$\sim \epsilon \Lambda_c^2|H|^2\cos (\frac{\phi}{f_a})$的非微扰希格斯-轴子耦合且具有$\Lambda_c\sim 10^{-10}\times m_a$和$m_a\sim 10^{-10}\,$eV 的情景，通过在爱因斯坦望远镜探测频率下背景状态方程参数的变形，在随机引力波背景中产生了一种特征模式。 我们还考虑了如果在单环中闭合希格斯场，由项$\sim \epsilon \Lambda_c^2|H|^2\cos (\frac{\phi}{f_a})$引起的希格斯圈效应。 显示英文摘要

摘要： In this work we investigate the phenomenological implications of several non-trivial axion-Higgs couplings, which cover most of the possible non-perturbative scenarios. Specifically we consider the combination of having higher order non-renormalizable Higgs-axion couplings originating from a weakly coupled effective theory combined with non-perturbative couplings of the form $\sim \epsilon \Lambda_c^2|H|^2\cos (\frac{\phi}{f_a})$. Since we consider the misalignment axion, the non-perturbative couplings can be expanded in the form of a perturbation expansion in powers of $\phi/f_a$, thus after the electroweak symmetry breaking, the effective potential of the axion is drastically affected by these terms. We investigate the phenomenological implications of these terms for various values of the mass scale $\Lambda_c$, and some scenarios are theoretically disfavored, while other scenarios with non-perturbative Higgs-axion couplings of the form $\sim \epsilon \Lambda_c^2|H|^2\cos (\frac{\phi}{f_a})$ with $\Lambda_c\sim 10^{-10}\times m_a$ and $m_a\sim 10^{-10}\,$eV, lead to a characteristic pattern in the stochastic gravitational wave background via the deformation of the background equation of state parameter occurring at frequencies probed by the Einstein Telescope. We also consider loop effects from the Higgs sector caused by the term $\sim \epsilon \Lambda_c^2|H|^2\cos (\frac{\phi}{f_a})$ if we close the Higgs in one loop.