最小强暗辐射和暗物质模型的重整化群研究
Renormalization Group Study of the Minimal Majoronic Dark Radiation and Dark Matter Model
摘要：
我们研究了我们以前构造的最简单的单重态Majoron模型中的单圈重整化群方程，以适应宇宙中的暗辐射和暗物质含量。进行了全面的数值研究，以探索整个模型参数空间。中微子$\triangle N_{eff}\sim 0.05$的有效数量越小，或者马约子的退耦温度高于粲夸克质量，这是优选的。我们发现，一个重标量暗物质，$ρ$，质量$1.5-4$ TeV的标量势的稳定性和中微子质量的操作I型跷跷板机制所需要的。一个中性标量，$S$，质量在$10-100$ GeV范围和它的混合与标准模型希格斯大$0.1$也被预测。主要衰变模式为$S$到$b\bar{b}$和/或$ωω$。一个敏感的搜索将来自罕见的$Z$衰变通过链$Z\rightarrow S+ f\bar{f}$，其中$f$是一个标准模型费米子，其次是$S$到一对Majoron和/或b夸克。讨论了由于$Sρρ$ -耦合作用而导致的暗物质束缚态的有趣结果。特别是，中微子能量在$M_ρ$的类中微子事件可能有助于在地下中微子探测器（如IceCube）中观察到的有效中微子通量。
英文摘要：
We study the 1-loop renormalization group equation running in the simplest singlet Majoron model constructed by us earlier to accommodate the dark radiation and dark matter content in the universe. A comprehensive numerical study was performed to explore the whole model parameter space. A smaller effective number of neutrinos $\triangle N_{eff}\sim 0.05$, or a Majoron decoupling temperature higher than the charm quark mass, is preferred. We found that a heavy scalar dark matter, $ρ$, of mass $1.5-4$ TeV is required by the stability of the scalar potential and an operational type-I see-saw mechanism for neutrino masses. A neutral scalar, $S$, of mass in the $10-100$ GeV range and its mixing with the standard model Higgs as large as $0.1$ is also predicted. The dominant decay modes are $S$ into $b\bar{b}$ and/or $ωω$. A sensitive search will come from rare $Z$ decays via the chain $Z\rightarrow S+ f\bar{f}$, where $f$ is a Standard Model fermion, followed by $S$ into a pair of Majoron and/or b-quarks. The interesting consequences of dark matter bound state due to the sizable $Sρρ$-coupling are discussed as well. In particular, shower-like events with an apparent neutrino energy at $M_ρ$ could contribute to the observed effective neutrino flux in underground neutrino detectors such as IceCube.
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