Inflaton and Dark Matter Phenomenology Via Reheating and Its Observational Signatures

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We are currently in the era of precision cosmology, which offers us a unique opportunity to investigate beyond the Standard Model (SM) of physics. Toward this endeavor, the inflaton and Dark Matter (DM) are assumed to be natural new physics candidates. It is believed that reheating takes place right after inflation, during which all the SM particles are produced. Interestingly, reheating not only explains the cosmic origin of visible matter but also provides a mechanism for the production of other cosmological relics, such as DM. Furthermore, reheating can also affect the observational predictions of the preceding phase of inflation. Thus, reheating offers a promising playground for the phenomenological study of inflation and DM within a unified framework, which has been studied extensively in this thesis. Wefirst studied the dynamics of reheating for a general inflaton equation of state (EoS), considering both gravitational and non-gravitational interactions between the inflaton and radiation. We showed that, depending on the EoS and the nature of the inflaton s decay products (radiation), thermal effects can play a significant role in the reheating process. We have constrained key microphysical parameter, namely the non-gravitational inflaton coupling, in terms of the inflaton EoS, the reheating temperature, and the CMB spectral index. Furthermore, we analyzed the implications of the reheating dynamics for the DM phenomenology, considering both thermal and non-thermal production of DM. The non-trivial expansion and thermal history during reheating significantly impact the viable DM parameter space, potentially enlarging the regions accessible to future experiments. This opens a promising, indirect window to probe the early Universe in laboratory settings. Then, we explored the impact of the latest observation of Planck and BICEP/Keck data on the inflaton phenomenology. Due to the lack of direct experimental probes, both the inflationary and post-inflationary parameters, like inflationary e-folding number, rehea

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