Abstract

The aim of this paper is to investigate spectral and photometric properties of 854 faint ($i_AB$<~25 mag) star-forming galaxies (SFGs) at 2<z<2.5 using the VIMOS Ultra-Deep Survey (VUDS) spectroscopic data and deep multi-wavelength photometric data in three extensively studied extragalactic fields (ECDFS, VVDS, COSMOS). These SFGs were targeted for spectroscopy primarily because of their photometric redshifts. The VUDS spectra are used to measure the UV spectral slopes ($\beta$) as well as Ly$\alpha$ equivalent widths (EW). The spectroscopically measured $\beta$ are, on average, redder (less negative) compared to the photometrically measured $\beta$. The positive correlation of $\beta$ with the SED-based measurement of dust extinction E(B-V) emphasizes the importance of $\beta$ as an alternative dust indicator at high redshifts. For proper comparison, we divide these SFGs into three sub-groups based on their rest-frame Ly$\alpha$ EW: SFG_N (EW<=0A), SFG_L (EW>0A), and LAEs (EW=>20A). The fraction of LAEs at these redshifts is ~10%, which is consistent with previous observations. We compared best-fit SED estimated stellar parameters of the SFG_N, SFG_L and LAE samples. For the luminosities probed here, we find statistically significant correlations for dust and star-formation rates (SFR), such that, SFG_L (and LAEs) are less dusty and low star-forming compared to SFG_N, but the differences are small compared to the large dispersion in these stellar parameters. We do not observe any significant difference in stellar mass or UV absolute magnitude. We also observe similar trends of decreasing dust and SFR with increasing Ly$\alpha$ EW. When we divide the LAEs based on their Spitzer/IRAC 3.6$\mu$m fluxes, we find that the fraction of IRAC-detected (m$_3.6$<~25 mag) LAEs is much higher than the fraction of IRAC-detected NB-selected LAEs at z~2-3. abridged

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