Geometrical measures of non-Gaussianity generated from single field Inflationary models

TL;DR

This paper develops a numerical framework to compute third order moments and geometrical measures of non-Gaussianity in single field inflationary models, applicable to both slow roll and non slow roll regimes.

Contribution

It introduces a robust numerical technique for calculating the bispectrum and third order moments in various inflationary models, enabling direct prediction of non-Gaussian geometrical measures.

Findings

Successfully computed bispectrum for models with features in the potential.

Derived analytical expressions for moments in the slow roll regime.

Implemented numerical methods for non slow roll models.

Abstract

We have calculated the third order moments of scalar curvature perturbations in configuration space for different inflationary models. We developed a robust numerical technique to compute the bispectrum for different models that have some features in the inflationary potential. From the bispectrum we evaluated moments analytically in the slow roll regime while we devised a numerical mechanism to calculated these moments for non slow roll single field inflationary models with standard kinetic term that are minimally coupled to gravity. With help of these third order moments one can directly predict many non-Gaussian and geometrical measures of CBM distributions in the configuration space. Thus, we have devised a framework to calculate different third order moments and geometrical measures, e.g. Minkowski functionals or skeleton statistic, generated by different single field models of inflation.