# Tensor Spectra Templates for Axion-Gauge Fields Dynamics during Inflation

## TL;DR

This paper derives analytical templates for the tensor power spectrum generated by axion-gauge field interactions during inflation, focusing on different axion potentials and their observational signatures in future CMB B-mode polarization data.

## Contribution

It provides general analytic expressions and templates for the tensor spectrum for various axion potentials, including oscillatory features in axion monodromy models.

## Key findings

- Analytic expressions for tensor spectra with different axion potentials.
- Templates capturing oscillatory features in the tensor power spectrum.
- Assessment of detectability of these features in future CMB observations.

## Abstract

$SU(2)$ gauge fields can generate large gravitational waves during inflation, if they are coupled to an axion which can be either the inflaton or a spectator field. The shape of the produced tensor power spectrum $\mathcal{P}_h$ depends on the form of the axion potential. We derive analytic expressions and provide general templates for $\mathcal{P}_h$ for various types of the spectator axion potential. Furthermore, we explore the detectability of the oscillatory feature, which is present in $\mathcal{P}_h$ in the case of an axion monodromy model, by possible future CMB B-mode polarization observations.