New natural shapes of non-Gaussianity from high-derivative interactions
  and their optimal limits from WMAP 9-year data
  Given the fantastic experimental effort, it is important to thoroughly
explore the signature space of inflationary models. The fact that higher
derivative operators do not renormalize lower derivative ones allows us to find
a large class of technically natural single-clock inflationary models where, in
the context of the Effective Field Theory of Inflation, the leading
interactions have many derivatives. We systematically explore the 3-point
function induced by these models and their overlap with the standard
equilateral and orthogonal templates. We find that in order to satisfactorily
cover the signature space of these models, two new additional templates need to
be included. We then perform the optimal analysis of the WMAP 9-year data for
the resulting four templates, finding that the overall significance of a
non-zero signal is between 2--2.5$\sigma$, depending on the choice of parameter
space, partially driven by the preference for nonzero $f_{NL}^{\rm orth}$ in
WMAP9.
