Calibrating the tip of the red giant branch and measuring Magellanic Cloud distances to ∼2% exclusively with Gaia

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Volume 708 (April 2026)

A&A, 708 (2026) L8

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Table 1.

TRGB calibrations derived here.

Passband	M₀^TRGB (mag)	N_GCs	N_{[ − 4, −3]}^*
I_Stetson	$- 3 . 948_{- 0.034}^{+ 0.037}$ $Mathematical equation: $ -3.948^{+0.037}_{-0.034} $$	48	1086
I_GDR3^T	$- 3 . 949_{- 0.038}^{+ 0.043}$ $Mathematical equation: $ -3.949^{+0.043}_{-0.038} $$	53	680
RP	$- 3 . 807_{- 0.035}^{+ 0.041}$ $Mathematical equation: $ -3.807^{+0.041}_{-0.035} $$	53	604

Notes. I_Stetson denotes the calibration based on ground-based photometry from the Stetson database. I_GDR3^T refers to the Cousins I-band calibration obtained from photometric transformations of multi-band Gaia data, and RP to native GDR3 photometry. $M_{0}^{TRGB}$ $Mathematical equation: $ M^{\mathrm{TRGB}}_{0} $$ lists the median and the 16th and 84th percentiles of the bootstrap distributions, all of which include the uncertainties discussed in Table E.1. The final columns report the number of N_GCs and stars in the absolute magnitude range M₀ ∈ [ − 4, −3] that passed all quality cuts (see Appendix C).

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