We perform a comprehensive study of the Higgs potential of the two Higgs doublet model extended by a real triplet scalar field Δ. This model, dubbed 2HDM+T, has a rich Higgs spectrum consisting of three CP-even Higgs h1,2,3, one CP-odd A0 and two pairs of charged Higgs H1,2±. First, we determine the perturbative unitarity constraints and a set of nontrivial conditions for the boundedness from below (BFB). Then we derive the Veltman conditions by considering the quadratic divergencies of Higgs boson self-energies in 2HDM+T. We find that the parameter space is severely delimited by these theoretical constraints, as well as experimental exclusion limits and Higgs signal rate measurements at LEP and LHC. Using HiggsBounds-5.3.2beta and HiggSignals-2.2.3beta public codes, an exclusion test at 2σ is then performed on the physical scalars of 2HDM+T. Our analysis provides a clear insight on the nonstandard scalar masses, showing that the allowed ranges are strongly sensitive to the sign of mixing angle α1, essentially when naturalness is involved. For α1 < 0 scenario, our results place higher limits on the bounds of all scalar masses, and show that the pairs (h2,H1±) and (h3,H2±) are nearly mass degenerate varying within the intervals [130, 246] GeV and [160, 335] GeV, respectively. When α1 turns positive, we show that consistency with theoretical constraints and current LHC data, essentially on the diphoton decay channel, favors Higgs masses varying within wide allowed ranges: [153, 973] GeV for mA0; [151, 928] GeV for (mh2, mH1±) and [186, 979] GeV for (mh3, mH2±). Finally, we find that the γγ and Zγ Higgs decay modes are generally correlated if tan β lies within the reduced intervals 17 ≤tan β ≤ 25 and λb parameter is frozen around 1.3 (1.1) for sin α1 > 0 (sin α1 < 0).

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2HDM 中的希格斯势能通过真正的三元组标量扩展：路线图

我们对由真实三重态标量场扩展的两个希格斯双重态模型的希格斯势进行了全面研究Δ. 这个模型，被称为2高密度机+吨, 具有由三个 CP 偶数希格斯谱组成的丰富的希格斯谱H1,2,3, 一个 CP 奇数一种0和两对带电希格斯粒子H1,2±. 首先，我们确定了微扰统一性约束和一组非平凡条件的下界（BFB）。然后我们通过考虑希格斯玻色子自能的二次散度推导出 Veltman 条件2高密度机+吨. 我们发现参数空间受到这些理论约束以及 LEP 和 LHC 的实验排除限制和希格斯信号速率测量的严重限制。使用 HiggsBounds-5.3.2beta 和 HiggSignals-2.2.3beta 公共代码，排除测试2σ然后在物理标量上执行2高密度机+吨. 我们的分析提供了对非标准标量质量的清晰见解，表明允许的范围对混合角的符号非常敏感α1，本质上是在涉及自然性时。为了α1 < 0在这种情况下，我们的结果对所有标量质量的范围设置了更高的限制，并表明(H2,H1±)和(H3,H2±)在区间内几乎质量退化[130, 246]GeV 和[160, 335]GeV，分别。什么时候α1变为正数，我们表明与理论约束和当前 LHC 数据的一致性，主要是在双光子衰减通道上，有利于希格斯质量在宽允许范围内变化：[153, 973]GeV 为米一种0;[151, 928]GeV 为 (米H2,米H1±） 和[186, 979]GeV 为 (米H3,米H2±）。最后，我们发现γγ和Zγ希格斯衰变模式通常是相关的，如果棕褐色 β位于缩小的区间内17 ≤棕褐色 β ≤ 25和λb参数被冻结1.3(1.1） 为了罪 α1 > 0(罪 α1 < 0）。