Perturbative unitarity bounds in composite two-Higgs doublet models
Perturbative unitarity bounds in composite two-Higgs doublet models
复制标题
复合双希格斯双峰模型中的微扰幺正界
DOI：
10.1103/physrevd.94.055017
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发表时间：
2016
影响因子：
5
通讯作者：
Emine Yildirim
中科院分区：
文献类型：
--
作者：
S. Curtis;S. Moretti;K. Yagyu;Emine Yildirim
我们研究了基于全局对称性自发击穿的复合2-希格斯双重模型（C2HDM）的微扰统一界 $SO(6)\to SO(4)\times SO(2)$ 在综合程度上 $f$． 从这种动力学中产生的8个伪Nambu-Goldstone玻色子（pNGBs）被确定为两个同位旋双重希格斯场。我们计算 $S$在能量尺度上所有可能的二对二体弹性（伪）标量玻色子散射的振幅 $\sqrt{s}$ 可以在大型强子对撞机（LHC）及其他地方获得，包括弱规范玻色子态的纵向分量作为相应的pNGB态。在我们的计算中，假设希格斯势具有与基本2-希格斯双重态模型（E2HDM）相同的形式，具有离散 $Z_2$ 对称，这有望通过科尔曼-温伯格（CW）机制在单回路水平上产生。我们发现 $S$-振幅矩阵可以块对角化与最大化 $2\times 2$ 类似于E2HDM的情况只要我们只保留贡献 ${\cal O }(\xi s)$ 和 ${\cal O }(\xi^0 s^0)$ 在振幅中 $\xi=v_{\text{SM}}^2/f^2$ 和 $v_{\text{SM}}^{}\simeq 246$ GeV，这是我们分析的合适近似值。通过要求C2HDM在大型强子对撞机可达的能量处满足微扰统一性，我们导出了其参数的界，如 $\xi$ 以及在2012年发现的类似标准模型（SM）的希格斯态的情况下存在的额外希格斯玻色子的质量。
We study bounds from perturbative unitarity in a Composite 2-Higgs Doublet Model (C2HDM) based on the spontaneous breakdown of a global symmetry $SO(6)\to SO(4)\times SO(2)$ at the compositeness scale $f$. The eight pseudo Nambu-Goldstone Bosons (pNGBs) emerging from such a dynamics are identified as two isospin doublet Higgs fields. We calculate the $S$-wave amplitude for all possible 2-to-2-body elastic (pseudo)scalar boson scatterings at energy scales $\sqrt{s}$ reachable at the Large Hadron Collider (LHC) and beyond it, including the longitudinal components of weak gauge boson states as the corresponding pNGB states. In our calculation, the Higgs potential is assumed to have the same form as that in the Elementary 2-Higgs Doublet Model (E2HDM) with a discrete $Z_2$ symmetry, which is expected to be generated at the one-loop level via the Coleman-Weinberg (CW) mechanism. We find that the $S$-wave amplitude matrix can be block-diagonalized with maximally $2\times 2$ submatrices in a way similar to the E2HDM case as long as we only keep the contributions from ${\cal O }(\xi s)$ and ${\cal O }(\xi^0 s^0)$ in the amplitudes, where $\xi=v_{\text{SM}}^2/f^2$ and $v_{\text{SM}}^{}\simeq 246$ GeV, which is an appropriate approximation for our analysis. By requiring the C2HDM to satisfy perturbative unitarity at energies reachable by the LHC, we derive bounds on its parameters such as $\xi$ and the masses of extra Higgs bosons present in the scenario alongside the Standard Model (SM)-like Higgs state discovered in 2012.