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arXiv 2212.07620hep-phhep-ex
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基于CDF $W$质量异常的双Higgs二重态模型中重Higgs玻色子质量谱研究

On the mass spectrum of heavy Higgs bosons in two-Higgs-doublet model in the light of the CDF $W$-mass anomaly

Dong-Won Jung, Yongtae Heo, Jae Sik Lee

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20pages, 7 figures, 1 table: version to appear in PRD
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AI总结：

结合CDF $W$质量异常，在双Higgs二重态模型中分析了重Higgs玻色子质量谱，发现$H^\pm$与$H_2$的质量劈裂是容纳$T$参数正偏差的关键，并为未来对撞机搜索提供了基准情景。

摘要：

在双Higgs二重态模型（2HDM）框架下，我们结合CDF合作组对$W$玻色子质量的精确测量，分析了带电和中性Higgs玻色子的质量谱。我们考虑了在Higgs基中具有显式CP破坏的最一般2HDM势，其中包含三个CP混合的中性质量本征态$H_1$、$H_2$和$H_3$，且满足$M_{H_1}\leq M_{H_2}\leq M_{H_3}$。CDF对$W$玻色子质量的高精度测量表现为$T$参数具有较大的正值。通过将最轻的中性Higgs玻色子$H_1$认定为在LHC上发现的类SM粒子，我们发现必须让带电Higgs玻色子$H^\pm$与第二轻的中性Higgs玻色子$H_2$之间存在质量劈裂，才能容纳$T$参数相对于其SM值$0$的显著正偏差。结合$H^\pm$与$H_2$之间的质量劈裂，以及微扰幺正性和Higgs势有下界的理论约束，我们综合考虑偏离对齐极限的效应以及$H_3$与$H_2$之间的质量劈裂，对重Higgs玻色子的质量谱进行了全面分析。我们进一步分析了重Higgs质量谱随$T$参数变化的行为。最后，集中于重质量区域$M\equiv (M_{H_2}+M_{H^\pm})/2\gsim 500$ GeV，在此区域我们发现质量层级为$M\gg M_{H_1}\sim |Δ| \gsim δ$，其中$Δ\equiv M_{H_2}-M_{H^\pm}$，$δ\equiv M_{H_3}-M_{H_2}$，我们讨论了在未来对撞机（如高亮度LHC和100 TeV强子对撞机）上搜索重Higgs玻色子的一些基准情景。

英文摘要：

We analyze the mass spectrum of the charged and neutral Higgs bosons in the framework of two Higgs doublet model (2HDM) in the light of the precision measurement of the $W$ boson mass by the CDF collaboration. We have considered the most general 2HDM potential with explicit CP violation in the Higgs basis which contains the three CP-mixed neutral mass eigenstates $H_1$, $H_2$, and $H_3$ with $M_{H_1}\leq M_{H_2}\leq M_{H_3}$. The high-precision CDF measurement of the $W$ boson mass is characterized by the large positive value of the $T$ parameter. By identifying the lightest neutral Higgs boson $H_1$ as the SM-like one discovered at the LHC, we find that it is necessary to have the mass splitting between the charged Higgs boson $H^\pm$ and the second heaviest neutral one $H_2$ to accommodate the sizable positive deviation of the $T$ parameter from its SM value of $0$. By combining the mass splitting between $H^\pm$ and $H_2$ with the theoretical constraints from the perturbative unitarity and for the Higgs potential to be bounded from below, we implement comprehensive analysis of the mass spectrum of the heavy Higgs bosons taking account of the effects of deviation from the alignment limit and also the mass splitting between $H_3$ and $H_2$. We further analyze the behavior of the heavy-Higgs mass spectrum according to the variation of the $T$ parameter. Finally, concentrating on the heavy mass region $M\equiv (M_{H_2}+M_{H^\pm})/2\gsim 500$ GeV in which we find a mass hierarchy of $M\gg M_{H_1}\sim |Δ| \gsim δ$ with $Δ\equiv M_{H_2}-M_{H^\pm}$ and $δ\equiv M_{H_3}-M_{H_2}$, we discuss some benchmarking scenarios for the searches of heavy Higgs bosons at future colliders such as the high luminosity option of the LHC and a 100 TeV hadron collider.

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