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arXiv 1604.02230hep-ph
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WIMP暗物质的有效理论:类单态Majorana费米子情形

Effective Theory of WIMP Dark Matter supplemented by Simplified Models: Singlet-like Majorana fermion case

Shigeki Matsumoto, Satyanarayan Mukhopadhyay, Yue-Lin Sming Tsai

摘要:

我们列举了一套简化的模型,它匹配到完整的一套规范不变的有效运营商,以六维描述的单态类马约拉纳费米子暗物质与标准模型的相互作用。树级匹配条件,为每种情况下,制定了在大介质质量限制,定义一个一对一的对应关系之间的有效算子系数和简化的模型参数弱相互作用的模型。利用这样的映射,我们计算了早期宇宙中的暗物质湮灭率,以及其他低能量的可观测量,如核反冲率使用的有效运营商,而简化的模型被用来计算暗物质的生产率在高能对撞机,如LEP,LHC和未来的轻子对撞机。结合所有相关的约束与配置文件的似然分析,然后,我们讨论了目前允许的参数区域和前景,为未来的搜索在有效的运营商参数,减少模型的依赖性到最低水平。在这种模型无关分析适用的参数区域中,并且撇开湮灭通过s通道Z或希格斯玻色子极进行的特殊暗物质质量区域,电流约束允许对于$95\%$ C.L.的暗物质质量$m_χ>$ 20 GeV的有效算符抑制尺度($Λ$)为几百GeV的量级,而对于$m_χ\sim \mathcal{O}(1\,{\rm TeV})$,最大允许的尺度大约是$3$ TeV。对吨级直接探测实验和计划中的电子-正电子对撞机的未来范围的估计表明,除了质量接近Z玻色子质量一半的暗物质(使用$500\,{\rm GeV} < Λ< 2\,{\rm TeV} $)和那些超出未来轻子对撞机运动学范围的物质之外,其余大部分区域都可以探测。

英文摘要:

We enumerate the set of simplified models which match onto the complete set of gauge invariant effective operators up to dimension six describing interactions of a singlet-like Majorana fermion dark matter with the standard model. Tree level matching conditions for each case are worked out in the large mediator mass limit, defining a one to one correspondence between the effective operator coefficients and the simplified model parameters for weakly interacting models. Utilizing such a mapping, we compute the dark matter annihilation rate in the early universe, as well as other low-energy observables like nuclear recoil rates using the effective operators, while the simplified models are used to compute the dark matter production rates at high energy colliders like LEP, LHC and future lepton colliders. Combining all relevant constraints with a profile likelihood analysis, we then discuss the currently allowed parameter regions and prospects for future searches in terms of the effective operator parameters, reducing the model dependence to a minimal level. In the parameter region where such a model-independent analysis is applicable, and leaving aside the special dark matter mass regions where the annihilation proceeds through an s-channel Z or Higgs boson pole, the current constraints allow effective operator suppression scales ($Λ$) of the order of a few hundred GeV for dark matter masses $m_χ>$ 20 GeV at $95\%$ C.L., while the maximum allowed scale is around $3$ TeV for $m_χ\sim \mathcal{O}(1\,{\rm TeV})$. An estimate of the future reach of ton-scale direct detection experiments and planned electron-positron colliders show that most of the remaining regions can be probed, apart from dark matter masses near half of the Z-boson mass (with $500\,{\rm GeV} < Λ< 2\,{\rm TeV} $) and those beyond the kinematic reach of the future lepton colliders.

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