论文标题
$ \ mathbb {z} _ {3} $对称性下的非最小耦合通胀和暗物质
Non-minimal Coupling Inflation and Dark Matter under the $\mathbb{Z}_{3}$ Symmetry
论文作者
论文摘要
我们在$ Z_3 $复杂的标量模型中以统一的方式研究宇宙通胀和暗物质(DM)。复杂标量的实际和虚构部分分别充当充气和DM。可以实现公制和帕拉蒂尼形式主义中非最小耦合的缓慢通货膨胀。我们通过完全考虑理论和实验性约束来检查整个参数空间。我们发现,在低能尺度上,DM遗物密度和DM核核直接散射实验有利于混合角$ |θ| \ Lessim 0.25 $,DM质量$M_χ\ gtrsim 80 \ rm {gev} $和类似Higgs的标量$ M_ {H_2} \ gtrsim 300 \ rm {gev} $的质量。 In the high-energy scale, after further considering the cosmological constraints of the scalar spectral index and the tensor-to-scalar ratio for the two forms of inflation, the scalar spectral indices are both $\sim 0.965$, the non-minimum coupling coefficients are $\sim 10^4$ and $\sim 10^9$, and the tensor-to-scalar ratios are $\sim 10^{ - 3} $和$ \ lyssim 10^{ - 11} $,这表明可以通过以更高的精度测量张量表与标准比例来区分两个形式主义下的通胀。
We study the cosmological inflation and dark matter (DM) in a unified way within a $Z_3$ complex scalar model. The real and imaginary parts of the complex scalar act as the inflaton and DM respectively. The slow-rolling inflation with non-minimal coupling in both the metric and Palatini formalisms can be realized. We examine the whole parameters space by fully considering the theoretical and experimental constraints. We find that in the low-energy scale, the DM relic density and the DM-nucleon direct scattering experiments favor the mixing angle $|θ| \lesssim 0.25$, the DM mass $m_χ\gtrsim 80\rm{GeV}$, and the mass of Higgs-like scalar $m_{h_2} \gtrsim 300\rm{GeV}$. In the high-energy scale, after further considering the cosmological constraints of the scalar spectral index and the tensor-to-scalar ratio for the two forms of inflation, the scalar spectral indices are both $\sim 0.965$, the non-minimum coupling coefficients are $\sim 10^4$ and $\sim 10^9$, and the tensor-to-scalar ratios are $\sim 10^{-3}$ and $\lesssim 10^{-11}$ respectively, which suggests that the inflation under the two formalisms can be distinguished by measuring the tensor-to-scalar ratio with higher precision.