Discussion on Inert Doublet Model and loop correction of $HH\to hh$

TL;DR

This paper analyzes the Inert Doublet Model by deriving interactions, calculating scattering cross sections, and evaluating one-loop corrections to the process $HH\to hh$, providing insights into dark matter interactions.

Contribution

It presents a detailed calculation of interactions and one-loop corrections in the Inert Doublet Model, focusing on the process $HH\to hh$ for the first time.

Findings

Calculated all interactions in the Inert Doublet Model.

Computed scattering cross sections relevant to dark matter.

Evaluated one-loop corrections to $HH\to hh$ process.

Abstract

We take the Lagrangian of Inert Doublet Model and with unitary gauge calculate all the possible interactions, after calculating the interactions we draw the corresponding Feynman diagrams.There after calculate the Scattering cross section of the processes that contribute in the decay or scattering of DM candidate. In the concluding chapter we calculate the one loop correction to the process $HH\to hh$ and see all the possible loop contribution at this scale.