arXiv 1602.055832016-02hep-ph

SO（10）暗物质模型的真空稳定性和辐射电弱对称性破缺

Vacuum Stability and Radiative Electroweak Symmetry Breaking in an SO(10) Dark Matter Model

Yann Mambrini, Natsumi Nagata, Keith A. Olive, Jiaming Zheng

备注：: 5 pages, 3 figures; journal version
发表信息：: Phys. Rev. D 93, 111703 (2016)
DOI：: 10.1103/PhysRevD.93.111703

摘要：

标准模型中的真空稳定性是有问题的，因为希格斯四次自耦合在约$10^{10}$ GeV的重整化尺度下为负。本文考虑了一个非超对称SO（10）大统一模型，通过一个中间尺度规范群$G_{\text{int}}=\text{SU}(3)_C\otimes \text{SU}(2)_L\otimes \text{SU}(2)_R \otimes \text{U}(1)_{B-L}$使规范耦合统一成为可能。SO（10）的真空期望值a 126打破了$G_{\text{int}}$，它不仅通过跷跷板机制提供中微子质量，而且还保留了离散的$\mathbb{Z}_2$，可以解释暗物质候选者的稳定性，这里被认为是玻色子16的标准模型单重态分量。我们表明，除了这些功能的模型，确保积极的希格斯四次耦合通过其相互作用的暗物质多重和126。我们还表明，希格斯质量的平方运行负触发电弱对称性破缺。因此，真空稳定性与辐射电弱对称性破缺一起实现，并捕获了没有低能超对称性的超对称模型的两个更重要的元素。四次耦合的微扰性和辐射电弱对称性破缺的条件分别导致暗物质质量的严格上限和下限，并且这个暗物质质量区域（1.35-2 TeV）可以在未来的直接探测实验中进行探测。

英文摘要：

Vacuum stability in the Standard Model is problematic as the Higgs quartic self-coupling runs negative at a renormalization scale of about $10^{10}$ GeV. We consider a non-supersymmetric SO(10) grand unification model for which gauge coupling unification is made possible through an intermediate scale gauge group, $G_{\text{int}}=\text{SU}(3)_C\otimes \text{SU}(2)_L\otimes \text{SU}(2)_R \otimes \text{U}(1)_{B-L}$. $G_{\text{int}}$ is broken by the vacuum expectation value of a 126 of SO(10) which not only provides for neutrino masses through the seesaw mechanism but also preserves a discrete $\mathbb{Z}_2$ that can account for the stability of a dark matter candidate, here taken to be the Standard Model singlet component of a bosonic 16. We show that in addition to these features the model insures the positivity of the Higgs quartic coupling through its interactions to the dark matter multiplet and 126. We also show that the Higgs mass squared runs negative triggering electroweak symmetry breaking. Thus, the vacuum stability is achieved along with radiative electroweak symmetry breaking and captures two more important elements of supersymmetric models without low-energy supersymmetry. The conditions for perturbativity of quartic couplings and for radiative electroweak symmetry breaking lead to tight upper and lower limits on the dark matter mass, respectively, and this dark matter mass region (1.35-2 TeV) can be probed in future direct detection experiments.

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