  We suggest a new class of tests for searching for lepton flavor
non-universality (LFNU) using ratio observables and based on correlations among
the underlying LFNU new physics (NP) effects in several (seemingly independent)
di-lepton and single lepton + jet(s) processes. This is demonstrated by
studying the effects generated by LFNU 4-Fermi interactions involving 3rd
generation quarks. We find that the sensitivity to the scale ($\Lambda$) of the
LFNU 4-Fermi operators significantly improves when the correlations among the
various di-lepton +jets and single-lepton + jets processes are used, reaching
$\Lambda \sim {\cal O}(10)$~TeV at the HL-LHC.
