论文标题
muon $（g-2）$和$ {\ rm u（1）} _ {l_μ-l_τ} $模型中的热wimp dm
Muon $(g-2)$ and Thermal WIMP DM in ${\rm U(1)}_{L_μ-L_τ} $ Models
论文作者
论文摘要
$ {\ rm u（1）} _ {l_μ-l_τ} $模型与标准型号（SM）费米亚内容无异常，并且可以在$ΔA___\ sim O（sim O（sim o（sim o（sim o（sim）10）$ 10^{-10} $ me（Z）$ me（Z）$ me（Z）$ me（Z）$ ev {-im）$Δ____________________时$ g_x \ sim（4-8）\ times 10^{ - 4} $。在此光$ z'$区域中，据称，如果$ m _ {\ rm dm} \ sim m_ {z'}/2 $，则该模型还可以合并热wimp暗物质（DM）。这种设置依赖于通过$ z'$ - 介导的$ s $ channel将DM颗粒歼灭到SM粒子中。在这项工作中，我们表明$ m_ {z'} $和$ m _ {\ rm dm} $之间的这种紧密关系可以通过考虑到深色Higgs Boson（$ h_1 $）的贡献来逃避或无效。黑暗希格斯玻色子起着重要作用，不仅是因为它给了黑暗的光子质量，还因为它引入了其他DM歼灭频道，包括新的最终状态，例如$ H_1 H_1 $，$ Z'Z' $和$ Z'H_1 $。结果，该模型不需要在$ z'$ boson和暗物质$ m _ {\ rm dm} \ sim m_ {z'}/2 $之间密切的质量相关性，从而使标量和费米尼克暗物质类型更广泛地质量可能性。我们在详细的各种情况下探索了$ u（1）$对称性的各种情况，要么完全破坏或部分作为离散对称性，$ z_2 $或$ z_3 $。这种方法扩大了模型在光$ z'$区域中容纳各种w imp暗物质现象的能力，其中muon $（g-2）_μ$对模型进行了敏感的探测。
The ${\rm U(1)}_{L_μ- L_τ}$ model is anomaly-free with the Standard Model (SM) fermion content, and can make substantial contributions to the muon $(g-2)$ at the level of $Δa_μ\sim O(10) \times 10^{-10}$ for $M_{Z'} \sim O(10-100)$ MeV and $g_X \sim (4 - 8) \times 10^{-4}$. In this light $Z'$ region, it was claimed that the model can also incorporate thermal WIMP dark matter (DM) if $M_{\rm DM} \sim M_{Z'}/2$. This setup relies on DM particles annihilating into SM particles through a $Z'$-mediated $s$-channel. In this work, we show that this tight relationship between $M_{Z'}$ and $M_{\rm DM}$ can be evaded or nullified both for scalar and spin-1/2 DM by considering the contributions from the dark Higgs boson ($H_1$). The dark Higgs boson plays an important role, not only because it gives mass to the dark photon but also because it introduces additional DM annihilation channels, including new final states such as $H_1 H_1$, $Z' Z'$, and $Z' H_1$. As a result, the model does not require a close mass correlation between the $Z'$ boson and dark matter $M_{\rm DM} \sim M_{Z'}/2$ any longer, allowing for a broader range of mass possibilities for both scalar and fermionic dark matter types. We explore in great details various scenarios where the $U(1)$ symmetry is either fully broken or partially remains as discrete symmetries, $Z_2$ or $Z_3$. This approach broadens the model's capacity to accommodate various WIMP dark matter phenomena in the light $Z'$ region where the muon $(g-2)_μ$ makes a sensitive probe of the model.
