论文标题
伪破碎的$ su（2）$ u（1）$ u（1）$ gauge对称性
A model of pseudo-Nambu-Goldstone dark matter from a softly broken $SU(2)$ global symmetry with a $U(1)$ gauge symmetry
论文作者
论文摘要
提出了伪-Nambu-Goldstone（PNG）暗物质（DM）的模型。我们假设有一个$ su（2）_g $ global对称性，而黑暗扇区中有一个$ u（1）_x $ gauge对称性，并且它们在标量场中产生了真空期望值后，它们会自发地分成$ u（1）_d $ global对称性。我们添加了一个软对称的破坏术语，该术语将$ su（2）_g $ global对称性打破到$ u（1）_g $ global对称性中。我们的模型预测$ u（1）_d $全局对称性下的稳定的复合物粒子。 PNG DM模型的优点之一是模型可以解释当前的无效检测实验。由于Nambu-Goldstone Boson的低能行为，小动量转移抑制了散射幅度。在我们的模型中，软对称性破坏项是唯一确定的。这是我们模型在一些早期作品中的优势，在某些较早的作品中，某些软对称性破坏术语不能被禁止，但仅仅被认为是不存在的，以避免直接检测实验的约束。我们计算PNG DM的热液化丰度，发现模型可以解释在扰动单位性的某些约束下DM能量密度的测量值。
A model of the pseudo-Nambu-Goldstone (pNG) dark matter (DM) is proposed. We assume that there is an $SU(2)_g$ global symmetry and a $U(1)_X$ gauge symmetry in the dark sector, and they are spontaneously broken into a $U(1)_D$ global symmetry after a scalar field develops a vacuum expectation value. We add a soft symmetry breaking term that breaks the $SU(2)_g$ global symmetry into the $U(1)_g$ global symmetry explicitly. Our model predicts a stable complex pNG particle under the $U(1)_D$ global symmetry. One of the virtues of the pNG DM models is that the models can explain the current null results in the direct detection experiments. The small momentum transfer suppresses the scattering amplitudes thanks to the low energy behavior of the Nambu-Goldstone boson. In our model, the soft symmetry breaking term is uniquely determined. This is the advantage of our model to some earlier works in which some soft symmetry breaking terms cannot be forbidden but are simply assumed to be absent to avoid the constraints from the direct detection experiments. We calculate the thermal relic abundance of the pNG DM and find that model can explain the measured value of the DM energy density under some constraints from the perturbative unitarity.
