  If the LHC run 2 will not provide conclusive hints for new resonant Physics
beyond the Standard Model, dedicated and consistent search strategies at high
momentum transfers will become the focus of searches for anticipated deviations
from the Standard Model expectation. We discuss the phenomenological importance
of QCD and electroweak corrections in bounding higher dimensional operators
when analysing energy-dependent differential distributions. In particular, we
study the impact of RGE-induced operator running and mixing effects on
measurements performed in the context of an Effective Field Theory extension of
the SM. Furthermore we outline a general analysis strategy which allows a
RGE-improved formulation of constraints free of theoretical shortcomings that
can arise when differential distributions start to probe the new interaction
scale. We compare the numerical importance of such a programme against the
standard analysis approach which is widely pursued at present.
