  In this paper, we perform a comprehensive study of Lepton Flavor Violation
(LFV) in semileptonic transitions in the framework of an Effective Field Theory
with general flavor structure. We account for the Renormalization Group
Equations (RGEs), which induce non-trivial correlations between the different
types of LFV processes. In particular, we show that these loop effects are
needed to improve the bounds on several coefficients that are not efficiently
constrained at tree level. For illustration, we consider a few concrete
scenarios, with predominant couplings to third-generation quarks, and we
explore the correlations between the various tree- and loop-level constraints
on these models. As a by-product, we also provide expressions for several
semileptonic LFV meson decays by using the latest determinations of the
relevant hadronic form factors on the lattice.
