Inflationary study of non-Gaussianity using two-dimensional geometrical measures of CMB temperature maps

TL;DR

This paper develops a method to quantify non-Gaussianity in CMB temperature maps generated by inflation models using two-dimensional Minkowski functionals, linking initial perturbations to observable geometric measures.

Contribution

It introduces a novel approach to predict inflation-induced non-Gaussianity in CMB maps through Minkowski functional analysis based on bispectrum and cubic moments.

Findings

Calculated Minkowski functionals for inflationary CMB models.

Established a connection between bispectrum and non-Gaussian corrections.

Provided a predictive framework for inflationary non-Gaussianity detection.

Abstract

In this work we effectively calculated the two-dimensional Minkowski functionals for cosmic microwave background (CMB) temperature maps generated by single field models of inflation with a standard kinetic term. We started with calculation of the bispectrum of initial perturbations and then calculated the two-dimensional configuration space cubic moments for temperature fluctuations. These cubic moments give rise to first order non-Gaussian correction terms to the Minkowski functionals. Thus, we developed a robust mechanism to predict the amount of non-Gaussianity generated by inflation in the CMB temperature maps using Minkowski functionals.