Fig. D.1.

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Stellar and baryonic Tully-Fisher relations (STFR and BTFR) obtained using a vertical likelihood method, presented in the left and right panels of the upper panel, respectively. The blue filled circles represent the data from Sharma et al. (2023), with gray error bars denoting uncertainties on each measurements. The solid orange and purple lines shows the best-fit curves obtained in this study, accompanied by the shaded regions representing the 3σ intrinsic scatter for the STFR and BTFR, respectively. The bottom right corner of each plot displays the best-fit parameters. Additionally, the blue lines correspond to comparisons with local studies, while red lines represent the high-redshift data, as indicated in the upper left legend of each plot. Lower Panel: Posterior distributions (corner plots) resulting from the MCMC fitting process for the STFR and BTFR are shown in the left and right plots, respectively. The contours within these corner plots illustrate the 68%, 90%, and 99% credible intervals.
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