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双希格斯二重态II型跷跷板模型：自然性与$\bar{B}\to X_sγ$对重希格斯质量的约束

The two Higgs doublet type-II seesaw model: Naturalness and $\bar{B}\to X_sγ$ versus heavy Higgs masses

B. Ait Ouazghour, M. Chabab

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9 pages, 4 figures, LaTeX. Accepted in Physics Letters B
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AI总结：

该研究在含复标量三重态的双希格斯二重态模型中，结合自然性条件与$\bar{B}\to X_sγ$衰变约束，显著限定重希格斯质量范围，并揭示参数空间的关键限制条件。

摘要：

我们将工作\cite{Ouazghour:2018mld}扩展到更一般和更详细的分析，通过在包含复标量三重态场（$2HDMcT$）的双希格斯二重态模型背景下研究自然性问题和$B$物理约束。我们首先推导了修正的Veltman条件，并表明自然性问题可能在电弱尺度上被规避。然后，我们在次领头阶计算了$\bar{B}\to X_sγ$辐射衰变的分支比。除了幺正性、从下方有界约束以及来自希格斯信号率测量的当前对撞机数据外，我们重新审视了$2HDMcT$的参数空间，以了解修正的Veltman条件和$\bar{B}\to X_sγ$实验界限如何导致显著的限定。我们的分析表明，自然性严重影响重希格斯$h_3$、$A_2$、$H_2^\pm$和$H^{\pm\pm}$的质量。更具体地，我们考虑了对应于$μ_2 > 20, 40, 70$ GeV的三个基准情景。对于$μ_2 > 40$，我们发现在$m_{h_2}$、$m_{A_1}$和$m_{H_1^\pm}$上分别有$880$、$920$和$918$ GeV的严格上限。如果另外还考虑$\bar{B}\to X_sγ$衰变速率的测量，非标准希格斯玻色子（$h_2$、$h_3$、$A_1$、$A_2$、$H_1^\pm$、$H_2^\pm$、$H^{\pm\pm}$）的下质量界限被推高到介于$490$和$750$ GeV之间的更高值。此外，我们还证明$\bar{B}\to X_sγ$实验界限只有在满足两个条件时才能在$2HDMcT$内被容纳：$α_1$参数为正，以及希格斯质量层级$m_{h_{3}}>m_{H_2^\pm}>m_{H^{\pm\pm}}$。

英文摘要：

We extend the work \cite{Ouazghour:2018mld} to a more general and detailed analysis through studying the naturalness problem and $B$ physics constraints within the context of two higgs doublets model augmented with a complex scalar triplet field ($2HDMcT$). We first derive the modified Vetman conditions and show that naturalness problem might be evaded at the electroweak scale. Then, we evaluate the branching ratio of $\bar{B}\to X_sγ$ radiative decay at the Next to leading order. Besides unitarity, boundedness from below constraints and the present collider data from Higgs signal rate measurements, the parameter space of $2HDMcT$ is then revisited to see how the modified Veltman conditions and $\bar{B}\to X_sγ$ experimental bounds induce significant delimitations. Our analysis shows that the naturalness affects drastically the masses of heavy Higgs $h_3$, $A_2$, $H_2^\pm$ and $H^{\pm\pm}$. More specifically, we considered three benchmak scenarios corresponding to $μ_2 > 20, 40, 70$ GeV. For $μ_2 > 40$, we find stringent upper limits on $m_{h_2}$, $m_{A_1}$ and $m_{H_1^\pm}$ at $880$, $920$ and $918$ GeV respectively. If, in addition, the measurements of $\bar{B}\to X_sγ$ decay rate are also considered, the lower masses limits of nonstandard Higgs bosons ($h_2$, $h_3$, $A_1$, $A_2$, $H_1^\pm$, $H_2^\pm$, $H^{\pm\pm}$) are pushed up to higher values located between $490$ and $750$ GeV. Besides, we also demonstrate that the $\bar{B}\to X_sγ$ experimental limits can only be accommodated within $2HDMcT$ if two conditions are fullfilled : $α_1$ parameter positive and the Higgs mass hierarchy $m_{h_{3}}>m_{H_2^\pm}>m_{H^{\pm\pm}}$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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