観測的に支持されているインフレーションモデルの宇宙論的帰結

我已经完成了对混合希格斯-R^2模型膨胀后再加热过程的研究。我的研究可以在标准模型和广义相对论的最小设置下，改善对这个理论动机的通货膨胀模型的观测约束。我研究了这个模型中的微扰再加热，其中膨胀粒子对相对论粒子的微扰衰变起着至关重要的作用。这样的过程通常在后期主导着从充气到辐射的能量转移。此外，只要预热过程没有微调到足以重新加热宇宙，微扰再加热总是会发生。我计算了膨胀子的微扰衰减率，发现由于多场结构，它们与单场情况有很大不同。我考虑了衰减率作为浮子运动方程中的摩擦项，并与Boltzmann方程一起进行了数值求解，发现再加热温度与预热细节无关，但持续时间会随着预热效率的变化而不同。类希格斯参数的再加热温度高于类R^2参数。这一结果打破了模型参数之间通胀预测的退化，使未来更精确的观测可以很容易地约束该模型中的模型参数。对于是否用超越标准模型的物理方法来实现暴涨的问题，确认或排除这个模型是决定性的。

I have finished the investigation of the reheating process after inflation in the mixed Higgs-R^2 model. My study can improve the observational constraint on this theoretically motivated inflation model with minimal setup within the Standard Model and general relativity. I investigated the perturbative reheating in this model where the perturbative decay of inflatons to relativistic particles plays an essential role. Such a process usually dominates the energy transfer from inflaton to radiation at late time. Besides, the perturbative reheating always occurs as long as the preheating process is not fine-tuned enough to reheating the Universe. I calculated the perturbative decay rates of inflatons and found that they differ significantly from the single-field case due to the multi-field structure. I took into account the decay rates as friction terms in the equations of motion of inflatons and solved them numerically together with the Boltzmann equation, finding that the reheating temperature is independent of the detail of preheating while the duration will differ as the efficiency of preheating changes. The reheating temperature is higher for Higgs-like parameters than for R^2-like. This result breaks the degeneracy of inflation predictions among model parameters so that more precise observation in the future can easily constrain the model parameter in this model. Confirming or ruling out this model is decisive for the question whether inflation is realized with physics beyond the Standard Model.