  Non-decoupling effects of heavy scalars and vector fields play an important
role in the indirect search of Beyond the Standard Model (BSM) physics at the
LHC. By exploiting some new differential equations for the 1-PI amplitudes, we
show that such non-decoupling effects are absent for quite a general class of
effective field theories involving dimension six two-derivatives and dimension
eight four-derivatives operators, once resummation in certain BSM couplings is
taken into account and some particular regimes of the relevant couplings are
considered.
