IMF-induced intrinsic uncertainties on measuring galaxy distances based on the number of giant stars: the case of the ultradiffuse galaxy NGC 1052-DF2

The surface brightness fluctuation (SBF) technique is one of the distance measurement methods that has been applied on low galaxy NGC 1052-DF2 yielding a about 20 Mpc implying it to be dark matter deficient galaxy. We assume number giant stars above given luminosity threshold represent SBF magnitude. magnitude depends distance, but this degenerate with star formation history (SFH). Using stellar population synthesis model we calculate for populations different galaxy-wide initial mass functions (gwIMFs), ages, metallicities and SFHs. If gwIMF invariant canonical IMF, 1$\sigma$ (3$\sigma$) uncertainty in colour allows as 12 (8 Mpc). instead true underlying integrated IMF (IGIMF) then overestimating distances low-mass galaxies would natural result, allowing have 11 within uncertainty. Finally, show our main conclusion existence bias estimation not much affected by changing lower limit counting stars.