# The Multi-Wavelength Tully-Fisher relation with spatially resolved HI kinematics

## TL;DR

This study analyzes the Tully-Fisher relation across multiple wavelengths and kinematic measures for 32 galaxies, identifying the most precise correlation using 3.6 μm photometry and flat rotation velocity.

## Contribution

It introduces a comprehensive multi-wavelength, spatially resolved approach to optimize the Tully-Fisher relation's accuracy and tightness.

## Key findings

- The tightest TFr correlation uses 3.6 μm band and V_flat.
- A new tightness parameter σ_perp quantifies fit quality.
- The study enhances understanding of galaxy kinematic-photometric relations.

## Abstract

In this paper we investigate the statistical properties of the Tully-Fisher relation for a sample of 32 galaxies with measured distances from the Cepheid period-luminosity relation and/or TRGB stars. We take advantage of panchromatic photometry in 12 bands (from FUV to 4.5 $\mu$m) and of spatially resolved HI kinematics. We use these data together with three kinematic measures ($W^{i}_{50}$, $V_{max}$ and $V_{flat}$) extracted from the global HI profiles or HI rotation curves, so as to construct 36 correlations allowing us to select the one with the least scatter. We introduce a tightness parameter $\sigma_{\perp}$ of the TFr, in order to obtain a slope-independent measure of the goodness of fit. We find that the tightest correlation occurs when we select the 3.6 $\mu$m photometric band together with the $V_{flat}$ parameter extracted from the HI rotation curve.