论文标题
衰减标量暗物质的一般研究:SKA的现有限制和预计的无线电信号
A general study of decaying scalar dark matter: existing limits and projected radio signals at the SKA
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
We consider a decaying scalar dark matter (DM) with mass $m_χ$ in the range 10 GeV - 10 TeV and vary the branching ratios of all possible two-body SM final states (excluding and including $ν\barν$) in the range $0\%-100\%$ to derive constraints on the total decay width $Γ$ using the data collected by several astrophysical and cosmological observations. We find that, $Γ\lesssim 10^{-26} - 10^{-27}\,{\rm s}^{-1}$ (excluding $ν\barν$) and $Γ\lesssim 10^{-24} - 10^{-26}\,{\rm s}^{-1}$ (including $ν\barν$) are allowed, depending on the values of $m_χ$, which are most robust upper limits on $Γ$ for a generic decaying scalar DM. We then investigate the prospect of the upcoming Square Kilometre Array (SKA) radio telescope in detecting the DM decay induced radio signals originating inside the dwarf spheroidal (dSph) galaxies. We have classified the DM parameter space, allowed by the existing observations, independently of the branching ratio of each individual two-body SM final state, based on the detectability at the SKA. Excluding the $ν\barν$ decay mode, we find that, throughout the DM mass range considered, $Γ\gtrsim 10^{-30}\,{\rm s}^{-1} - 10^{-29}\,{\rm s}^{-1}$ is detectable for all possible branching ratio combinations at the SKA (assuming 100 hours of observation time), with conservative choices for the relevant astrophysical parameters. On the other hand, when arbitrary branching ratios are allowed also for the $ν\barν$ decay mode, DM decays can be probed independently of the branching ratio of each SM final state for $Γ\gtrsim 2 \times 10^{-29}\,{\rm s}^{-1}$, provided DM masses are greater than a few hundreds of GeV.