# Kinematics of $z\geq 6$ galaxies from [CII] line emission

## TL;DR

This study analyzes the kinematic properties of galaxies during the Epoch of Reionization using [CII] line emission, combining analytical models and high-resolution simulations to interpret line profiles and galaxy dynamics.

## Contribution

It introduces a new framework linking [CII] line profiles to galaxy kinematics and morphology at high redshift, supported by detailed simulations and mock observations.

## Key findings

- Spectral signatures correspond to merger, spiral, and disturbed disk stages.
- A generalized dynamical mass vs. FWHM relation with accuracy depending on inclination.
- Detection likelihood in ALMA depends on galaxy orientation, affecting non-detection interpretations.

## Abstract

We study the kinematical properties of galaxies in the Epoch of Reionization via the [CII] 158$\mu$m line emission. The line profile provides information on the kinematics as well as structural properties such as the presence of a disk and satellites. To understand how these properties are encoded in the line profile, first we develop analytical models from which we identify disk inclination and gas turbulent motions as the key parameters affecting the line profile. To gain further insights, we use "Althaea", a highly-resolved ($30\, \rm pc$) simulated prototypical Lyman Break Galaxy, in the redshift range $z = 6-7$, when the galaxy is in a very active assembling phase. Based on morphology, we select three main dynamical stages: I) Merger , II) Spiral Disk, and III) Disturbed Disk. We identify spectral signatures of merger events, spiral arms, and extra-planar flows in I), II), and III), respectively. We derive a generalised dynamical mass vs. [CII]-line FWHM relation. If precise information on the galaxy inclination is (not) available, the returned mass estimate is accurate within a factor $2$ ($4$). A Tully-Fisher relation is found for the observed high-$z$ galaxies, i.e. $L_{\rm[CII]}\propto (FWHM)^{1.80\pm 0.35}$ for which we provide a simple, physically-based interpretation. Finally, we perform mock ALMA simulations to check the detectability of [CII]. When seen face-on, Althaea is always detected at $> 5\sigma$; in the edge-on case it remains undetected because the larger intrinsic FWHM pushes the line peak flux below detection limit. This suggests that some of the reported non-detections might be due to inclination effects.