  In this document we study the effect of anomalous Higgs boson couplings on
non-resonant pair production of Higgs bosons ($HH$) at the LHC. We explore the
space of the five parameters $\kappa_{\lambda}$, $\kappa_{t}$, $c_2$, $c_g$,
and $c_{2g}$ in terms of the corresponding kinematics of the final state, and
describe a partition of the space into a limited number of regions featuring
similar phenomenology in the kinematics of $HH$ final state. We call clusters
the sets of points belonging to the same region; to each cluster corresponds a
representative point which we call a benchmark. We discuss a possible technique
to estimate the sensitivity of an experimental search to the kinematical
differences between the phenomenology of the benchmark points and the rest of
the parameter space contained in the corresponding cluster. We also provide an
analytical parametrization of the cross-section modifications that the
variation of anomalous couplings produces with respect to standard model $HH$
production along with a recipe to translate the results into other
parameter-space bases. Finally, we provide a preliminary analysis of variations
in the topology of the final state within each region based on recent LHC
results.
