Explore the intricacies of particle physics and cosmology in this 42-minute lecture by Aleksandr Chatrchyan at the Galileo Galilei Institute. Delve into the electroweak hierarchy problem and its implications for the Higgs mass. Examine the relaxion mechanism, including QCD and non-QCD models, and understand the stochastic formalism. Discover the dynamics of stopping and the parameter space for non-QCD relaxion. Investigate relaxion interactions, stochastic misalignment, and the potential for relaxion dark matter. Conclude with insights into the clockwork mechanism for generating large field ranges. Gain a comprehensive understanding of cutting-edge theories in particle physics and their cosmological implications.