  We perform a model-independent analysis of top-philic New Physics scenarios,
under the assumption that only effective operators involving top quarks are
generated at tree level. Within the SMEFT framework, we derive indirect
constraints on Wilson Coefficients by combining a large set of low-energy
observables: B-meson and kaon decays, meson mixing observables, precision
electroweak and Higgs measurements, anomalous magnetic moments, lepton flavour
violating processes, lepton flavour universality tests, and measurements of the
Cabibbo angle. We consider the renormalization group evolution of the operators
and use the one-loop matching of the SMEFT onto the LEFT. The global analysis
is then used to perform one-parameter, two-parameter, and global fits, as well
as applications to explicit ultraviolet models. We find that the inclusion of
measurements from different physics sectors reveals a strong interplay and
complementarity among the observables. The resulting constraints are also
compared to direct bounds provided by top quark productions at the LHC.
