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arXiv 2005.00365hep-ph
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最小B-L模型中的冻结暗物质和可能的大统一

Freeze-in Dark Matter from a Minimal B-L Model and Possible Grand Unification

Rabindra N. Mohapatra, Nobuchika Okada

摘要:

我们表明,一个最小的局部$B-L$对称性扩展的标准模型可以提供一个统一的中微子质量和暗物质的描述。在我们的模型中,$B-L$破缺是通过跷跷板机制决定中微子质量的,而$B-L$破缺希格斯场的实部(这里称为$σ$)在很宽的参数范围内扮演着冻结暗物质候选者的角色。由于$σ$ -粒子是不稳定的,为了使它有资格成为暗物质,它的寿命必须长于$10^{25}$秒,这意味着$B-L$规范耦合必须非常小。这反过来又意味着暗物质遗迹密度必须来自冻结机制。结合暗物质残余密度的暗物质寿命界限给出了$B-L$规范玻色子质量相对于暗物质质量的下限。我们指出参数域的暗物质质量可以在千电子伏到兆电子伏的范围内,以及在PeV范围。我们讨论的方法来测试这种情况下的一些参数范围在对撞机实验。最后,我们表明,如果不是$B-L$,我们认为额外的$U(1)$发电机是$-4I_{3R}+3(B-L)$,基本的唯象保持不变,并为一定的规范耦合范围内,该模型可以嵌入到一个五维$SO(10)$大统一理论。

英文摘要:

We show that a minimal local $B-L$ symmetry extension of the standard model can provide a unified description of both neutrino mass and dark matter. In our model, $B-L$ breaking is responsible for neutrino masses via the seesaw mechanism, whereas the real part of the $B-L$ breaking Higgs field (called $σ$ here) plays the role of a freeze-in dark matter candidate for a wide parameter range. Since the $σ$-particle is unstable, for it to qualify as dark matter, its lifetime must be longer than $10^{25}$ seconds implying that the $B-L$ gauge coupling must be very small. This in turn implies that the dark matter relic density must arise from the freeze-in mechanism. The dark matter lifetime bound combined with dark matter relic density gives a lower bound on the $B-L$ gauge boson mass in terms of the dark matter mass. We point out parameter domains where the dark matter mass can be both in the keV to MeV range as well as in the PeV range. We discuss ways to test some parameter ranges of this scenario in collider experiments. Finally, we show that if instead of $B-L$, we consider the extra $U(1)$ generator to be $-4I_{3R}+3(B-L)$, the basic phenomenology remains unaltered and for certain gauge coupling ranges, the model can be embedded into a five dimensional $SO(10)$ grand unified theory.

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