论文标题
Weyl $ r^2 $通货膨胀中的暗物质生产
Dark Matter Production in Weyl $R^2$ Inflation
论文作者
论文摘要
暗物质和通货膨胀是了解现代宇宙学中宇宙结构的起源的两个关键要素，但是它们的确切物理模型在很大程度上仍然不确定。 Weyl缩放的重力理论可以提供一个可行的方案，可以共同解决这两个难题，其中包含一个巨大的量规玻色子，扮演了暗物质候选的角色，并允许二次标量曲率术语，即$ r^2 $，以实现与当前观察一致的可行的通货膨胀机制。我们思考Weyl $ r^2 $模型中暗物质的生产，包括由于通货膨胀真空的量子波动和散射的扰动而产生的非扰动生产的贡献。我们证明，通常有三个参数范围用于可行的暗物质生产：（1）如果再加热温度大于$ 10^3〜 \ mathrm {gev} $，则可以将Weyl Gauge Boson作为暗物质产生丰富的质量，而质量大于通货膨胀量比$ \ sim 10^{13}^{13}〜\ Mathrm} $。 （2）$ 3 \ times10^{ - 13}〜\ mathrm {gev} $的小质量区域，用于更高的重新加热温度。 （3）在更高的再加热温度的情况下，歼灭通道变得很重要，这使得质量高达$ 4 \ times10^{16}〜\ mathrm {gev} $的Weyl仪表玻色子能够通过Freeze-In生产。
Dark matter and inflation are two key elements to understand the origin of cosmic structures in modern cosmology, and yet their exact physical models remain largely uncertain. The Weyl scaling invariant theory of gravity may provide a feasible scheme to solve these two puzzles jointly, which contains a massive gauge boson playing the role of dark matter candidate, and allows the quadratic scalar curvature term, namely $R^2$, to realize a viable inflationary mechanism in agreement with current observations. We ponder on the production of dark matters in the Weyl $R^2$ model, including the contribution from the non-perturbative production due to the quantum fluctuations from inflationary vacuum and perturbative ones from scattering. We demonstrate that there are generally three parameter ranges for viable dark matter production: (1) If the reheating temperature is larger than $10^3~\mathrm{GeV}$, the Weyl gauge boson as dark matter can be produced abundantly with mass larger than the inflation scale $\sim 10^{13}~\mathrm{GeV}$. (2) Small mass region with $3\times10^{-13}~\mathrm{GeV}$ for a higher reheating temperature. (3) Annihilation channel becomes important in the case of higher reheating temperature, which enables the Weyl gauge boson with mass up to $4\times10^{16}~\mathrm{GeV}$ to be produced through freeze-in.
