We perform a global fit within the pseudo-Nambu-Goldstone Dark Matter (DM) model emerging from an additional complex scalar singlet with a softly broken global U (1) symmetry. Leading to a momentum-suppressed DM-nucleon cross section at tree level, the model provides a natural explanation for the null results from direct detection experiments. Our global fit combines constraints from perturbative unitarity, DM relic abundance, Higgs invisible decay, electroweak precision observables and latest Higgs searches at colliders. The results are presented in both frequentist and Bayesian statisical frameworks. Furthermore, post-processing our samples, we include the likelihood from gamma-ray observations of Fermi -LAT dwarf spheroidal galaxies and compute the one-loop DM-nucleon cross section. We find two favoured regions characterised by their dominant annihilation channel: the Higgs funnel and annihilation into Higgs pairs. Both are compatible with current Fermi -LAT observations, and furthermore, can fit the slight excess observed in four dwarfs in a mass range between about 30–300 GeV. While the former region is hard to probe experimentally, the latter can partly be tested by current observations of cosmic-ray antiprotons as well as future gamma-ray observations.

中文翻译：

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伪Nambu-Goldstone暗物质的全局拟合

我们在伪Nambu-Goldstone暗物质（DM）模型中执行全局拟合，该模型来自具有软破坏的全局U（1）对称性的额外复杂标量单线态。该模型导致树级别上动量抑制的 DM 核子横截面，为直接检测实验的无效结果提供了自然的解释。我们的全局拟合结合了来自微扰幺正性、DM 遗迹丰度、希格斯不可见衰变、电弱精确观测和对撞机最新希格斯搜索的约束。结果显示在频率论和贝叶斯统计框架中。此外，对我们的样本进行后处理，我们包括来自费米-LAT 矮椭球星系的伽马射线观测的可能性，并计算单环 DM 核子截面。我们发现了两个以它们的主要湮灭通道为特征的有利区域：希格斯漏斗和湮灭成希格斯对。两者都与当前的 Fermi-LAT 观测兼容，此外，可以拟合在大约 30-300 GeV 质量范围内在四个矮星中观测到的略微过量。虽然前一个区域很难通过实验探测，但后者可以通过当前对宇宙射线反质子的观测以及未来的伽马射线观测进行部分测试。