Constraining parameters of effective field theory of inflation from
  Planck data
  The Cosmic Microwave Background can provide information regarding physics of
the very early universe, more specifically, of the matter-radiation
distribution of the inflationary era. Starting from the effective field theory
of inflation, we use the Goldstone action to calculate the three point
correlation function for the Goldstone field, whose results can be directly
applied to the field describing the curvature perturbations around a de Sitter
solution for the inflationary era. We then use the data from the recent Planck
mission for the parameters $f_{NL}^{equil}$ and $f_{NL}^{orthog}$ which
parametrize the size and shape of non-Gaussianities generated in single field
models of inflation. Using these known values, we calculate the parameters
relevant to our analysis, $f_{NL}^{\dot{\pi}^3}$, $f_{NL}^{\dot{\pi}(\partial
_i \pi)^2}$ and the speed of sound $c_s$ which parametrize the
non-Gaussianities arising from two different kinds of generalized interactions
of the scalar field in question.
