多临界点原理下的最小维嬗变中的暗物质
Dark matter in minimal dimensional transmutation with multicritical-point principle
摘要：
我们研究了一个模型与两个真正的标量场，最低限度地产生指数不同的尺度在一个模拟的科尔曼-温伯格机制。经典的规模不变性-在树级的行动，在这样的规模生成所需的维数参数的情况下-可以自然地被理解为多点临界原理的一个特殊情况。这个双标量模型可以耦合到标准模型希格斯场，以实现最大的多重性的临界场值周围的电弱标度，提供了一个推广的经典标度不变性的更广泛的类的临界性。作为奖励，两个标量中的一个可以被识别为希格斯门暗物质。我们发现，该模型可以与暗物质遗迹丰度，其直接探测实验，和最新的LHC数据的约束一致，同时保持到普朗克尺度的微扰。然后，我们提出了成功的基准点，满足所有这些限制：暗物质的质量是几个TeV，其散射截面与核的顺序是$10^{-9}$ PB，在不久的将来的实验中达到。额外的希格斯玻色子$H$的质量小于或在100 GeV的量级，碰撞能量为250 GeV时，$e^+e^- \to ZH$的碰撞截面可以达到fb水平，目标是将来的轻子对撞机。
英文摘要：
We investigate a model with two real scalar fields that minimally generates exponentially different scales in an analog of the Coleman-Weinberg mechanism. The classical scale invariance -- the absence of dimensionful parameters in the tree-level action, required in such a scale generation -- can naturally be understood as a special case of the multipoint criticality principle. This two-scalar model can couple to the Standard Model Higgs field to realize a maximum multiplicity of criticality for field values around the electroweak scale, providing a generalization of the classical scale invariance to a wider class of criticality. As a bonus, one of the two scalars can be identified as Higgs-portal dark matter. We find that this model can be consistent with the constraints from dark matter relic abundance, its direct detection experiments, and the latest LHC data, while keeping the perturbativity up to the Planck scale. We then present successful benchmark points satisfying all these constraints: The mass of dark matter is a few TeV, and its scattering cross section with nuclei is of the order of $10^{-9}$ pb, reachable in near future experiments. The mass of extra Higgs boson $H$ is smaller than or of the order of 100 GeV, and the cross section of $e^+e^- \to ZH$ can be of fb level for collision energy 250 GeV, targetted at future lepton colliders.
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