Scale-dependent non-Gaussianity and the CMB Power Asymmetry
  We introduce an alternative parametrisation for the scale dependence of the
non-linearity parameter $f_{\rm NL}$ in quasi-local models of non-Gaussianity.
Our parametrisation remains valid when $f_{\rm NL}$ changes sign, unlike the
commonly adopted power law ansatz $f_{\rm NL}(k) \propto k^{ n_{f_{\rm NL}} }$.
We motivate our alternative parametrisation by appealing to the
self-interacting curvaton scenario, and as an application, we apply it to the
CMB power asymmetry. Explaining the power asymmetry requires a strongly scale
dependent non-Gaussianity. We show that regimes of model parameter space where
$f_{\rm NL}$ is strongly scale dependent are typically associated with a large
$g_{\rm NL}$ and quadrupolar power asymmetry, which can be ruled out by
existing observational constraints.
