# Observational Constraints on Warm Inflation in Loop Quantum Cosmology

## TL;DR

This paper explores how warm inflation models within Loop Quantum Cosmology can be consistent with CMB observations, revealing that dissipation influences the required e-folds and that these models fit current data well.

## Contribution

It introduces constraints on warm inflation in LQC using Planck data, linking dissipation parameters with the bounce scale and demonstrating model viability.

## Key findings

- Dissipation affects the number of e-folds needed after the bounce.
- Warm inflation models in LQC align with current CMB data.
- Higher dissipation reduces the required e-folds for observable scales.

## Abstract

By incorporating quantum aspects of gravity, Loop Quantum Cosmology (LQC) provides a self-consistent extension of the inflationary scenario, allowing for modifications in the primordial inflationary power spectrum with respect to the standard General Relativity one. We investigate such modifications and explore the constraints imposed by the Cosmic Microwave Background (CMB) Planck Collaboration data on the Warm Inflation (WI) scenario in the LQC context. We obtain useful relations between the dissipative parameter of WI and the bounce scale parameter of LQC. We also find that the number of required e-folds of expansion from the bounce instant till the moment the observable scales crossed the Hubble radius during inflation can be smaller in WI than in CI. In particular, we find that this depends on how large is the dissipation in WI, with the amount of required e-folds decreasing with the increasing of the dissipation value. Furthermore, by performing a Monte Carlo Markov Chain analysis for the considered WI models, we find good agreement of the model with the data. This shows that the WI models studied here can explain the current observations also in the context of LQC.