The Star Formation Rate of the Universe at z~6 from the Hubble Ultra Deep Field

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Abstract
We determine the abundance of i'-band drop-outs in the recently-released HST/ACS Hubble Ultra Deep Field (UDF). Since the majority of these sources are likely to be z~6 galaxies whose flux decrement between the F775W i'-band and F850LP z'-band arises from Lyman-alpha absorption, the number of detected candidates provides a valuable upper limit to the unextincted star formation rate at this redshift. We demonstrate that the increased depth of UDF enables us to reach an 8-sigma limiting magnitude of z'(AB)=28.5 (equivalent to 1.5/h{70}^2 M_sun/yr at z=6, or 0.1 L*(UV) for the z~3 U-drop population), permitting us to address earlier ambiguities arising from the unobserved form of the luminosity function. We identify 54 galaxies (and only one star) at z'(AB)1.3 over the deepest 11arcmin^2 portion of the UDF field. The characteristic luminosity (L*) is consistent with values observed at z~3. The faint end slope (alpha) is less well constrained, but is consistent with only modest evolution. The main change appears to be in the number density (Phi*). Specifically, and regardless of possible contamination from cool stars and lower redshift sources, the UDF data support our previous result that the star formation rate at z~6 was at least x6 LESS than at z~3 (Stanway, Bunker & McMahon 2003). This declining comoving star formation rate (0.005 h{70}M_sun/yr/Mpc^3 at z~6 for a Salpeter IMF) poses an interesting challenge for models which suggest that L>0.1L* star forming galaxies at z~6 reionized the universe. The short-fall in ionizing photons might be alleviated by galaxies fainter than our limit, or a radically different IMF. Alternatively, the bulk of reionization might have occurred at z>>6.

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