The Metallicity Distribution in the Outer Halo of M33

We present the results of deep I - and V -band photometry of the halo stars near the southeast minor axis of the Local Group spiral galaxy M33. An ( I , V - I ) color-magnitude diagram distinctly reveals the red giant branch stars at the bright end of the color-magnitude diagram. A luminosity function in the I band that uses a background field to remove the contaminating effects of Galactic foreground stars and distant, unresolved galaxies reveals the presence of the tip of the red giant branch at ( m - M ) I = 20.70 ± 0.10. Assuming an absolute magnitude of the tip of the red giant branch of M I ,TRGB = -4.1 ± 0.1 and a foreground reddening of E ( V - I ) = 0.054 ± 0.020, the distance modulus of M33 is determined to be ( m - M ) 0 = 24.72 ± 0.14 (880 ± 60 kpc). The metallicity distribution function derived by interpolating between evolutionary tracks of red giant branch models is dominated by a relatively metal-poor stellar population, with a mean metallicity of [M/H] = -0.94 ± 0.04 or [Fe/H] = -1.24. We fit a leaky-box chemical enrichment model to the halo data, which shows that the halo is well represented by a single-component model with an effective yield of y eff = 0.0024. The mean metallicity of a sample of globular clusters in the M33 halo ([Fe/H] = -1.3 ± 0.1) matches very closely the metallicity of the halo, but the cluster sample is too small to investigate other aspects of the metallicity distribution function of the clusters.