  Two-point correlators and self-correlators of primordial perturbations in
quasi-de Sitter spacetime backgrounds are considered. For large separations
two-point correlators exhibit nearly scale invariance, while for short
distances self-correlators need standard renormalization. We study the
deformation of two-point correlators to smoothly match the self-correlators at
coincidence. The corresponding angular power spectrum is evaluated in the
Sachs-Wolfe regime of low multipoles. Scale invariance is maintained, but the
amplitude of $C_{\ell}$ could change in a non-trivial way.
