Theoretical and Observational Consistency of Massive Gravity

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Focusing on the theoretical and phenomenological implications of a massive graviton, this study explores the ghost-free dRGT theory of massive gravity. It establishes constraints on theoretical parameters, emphasizing classical stability in cosmological scenarios. The author develops a proxy theory leading to non-minimally coupled scalar-tensor interactions, a subset of Horndeski theories. Additionally, the work examines the potential for strong renormalization of parameters by quantum loops, demonstrating that the non-renormalization theorem safeguards the graviton mass from such corrections, affirming its technical naturalness.