Creating perturbations from a decaying field during inflation
  Typically the fluctuations generated from a decaying field during inflation do not contribute to the large scale structures. In this paper we provide an example where it is possible for a field which slowly rolls and then decays during inflation to create all the matter perturbations with a slightly red-tilted spectral index, with no isocurvature perturbations, and with a possibility of a departure from Gaussian fluctuations. 
Anupam Mazumdar, Lingfei Wang
astro-ph.CO hep-ph