Count response model for the CMB spots

TL;DR

This paper introduces a count response model for CMB spots based on inflationary curvature quanta, highlighting overdispersion in multiplicity distributions and suggesting its use with high-resolution temperature data.

Contribution

It proposes a novel count response model for CMB temperature inhomogeneities that accounts for overdispersion and correlations at high multiplicities.

Findings

Multiplicity distributions are overdispersed compared to Poisson models.

The model captures excess correlations at high multiplicities.

It is suitable for analyzing high-resolution CMB temperature data.

Abstract

The statistics of the curvature quanta generated during a stage of inflationary expansion is used to derive a count response model for the large-scale phonons determining, in the concordance lore, the warmer and the cooler spots of the large-scale temperature inhomogeneities. The multiplicity distributions for the counting statistics are shown to be generically overdispersed in comparison with conventional Poissonian regressions. The generalized count response model deduced hereunder accommodates an excess of correlations in the regime of high multiplicities and prompts dedicated analyses with forthcoming data collected by instruments of high angular resolution and high sensitivity to temperature variations per pixel.