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Abstract

In this thesis, we present conformally symmetric models to address the gauge hier- archy problem and other beyond Standard Model (BSM) problems in high-energy physics. After introducing the concepts of conformal, and scale symmetry, we re- view radiative scale generation, the trace anomaly, and the hierarchy problem. We employ these concepts in the form of a model, where the radiative breaking of scale symmetry denotes the sole dynamical origin for both the Planck mass and the scale of electroweak symmetry breaking. We find that it is natural to include proposed solutions to other problems of BSM physics, namely dark matter, and active neu- trino mass, as well as describing cosmological inflation, in good agreement with the currently strongest experimental constraints. Further investigating the gravita- tional contribution to symmetry breaking in the aforementioned context, we extract the infamous spin-2 ghost degree of freedom from the Weyl tensor squared contri- bution and find it to induce an essential contribution to not only scale generation with a more minimal scalar sector but also to maintaining experimentally favored predictions. Finally, we leverage the scaling behavior of strongly coupled confor- mally symmetric theories to provide a general framework of UV completion for Lit- tle Higgs models.