Probing lepton flavor violation on all energy frontiers

The Standard Model (SM) of particle physics has proven to be highly successful in describing elementary particles and their interactions. However, it is widely believed that the SM is the low-energy version of a more fundamental theory. In particular, there are hints for New Physics (NP) in the flavor sector. In this Master's thesis work, we aim to investigate the phenomenology of Lepton Flavor Violation (LFV). Such phenomena are strongly suppressed in the SM and therefore any evidence for them would unambiguously signal the presence of NP. We investigate the reaches of all current and expected facilities at any energy frontiers. In particular, we exploit the reaches of low-energy experiments such as MEG-II or Belle-II as well as high-energy experiments such as LHC and future lepton colliders. Our study of LFV effects is based on tools and techniques of effective field theory. In particular, we evaluate the decay rates for the processes $\ell_i\to\ell_j\gamma$, $\ell_i\to\ell_j\ell_k\ell_l$, $Z\to\ell_i\ell_j$, $h\to\ell_i\ell_j$, $B\to(K/\pi)\ell_i\ell_j$ and $\tau\to\ell \pi$ as well as the cross sections for the LFV scatterings $\ell_i\ell_i\to\ell_k\ell_l$, $\ell + N \to \tau + X$ and $pp\to\ell_k\ell_l$. Our primary goal is to analyze the potentialities of discovering LFV phenomena and/or to put relevant bounds on the fundamental parameters of the considered NP frameworks.