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Using the MOSDEF rest-frame optical spectroscopic survey, we investigate thestar-formation histories (SFHs) of different galaxy types, ranging fromactively star forming to quiescent at $1.4\leq~z\leq2.6$. SFHs are constrainedutilizing stellar continuum spectroscopy, specifically through a combination ofBalmer absorption lines, the 4000$\AA$ break, and the equivalent width of theH$\alpha$ emission line. To attain a sufficiently high signal-to-noise ratio(S/N) to conduct these measurements we stack spectra of galaxies with similarspectral types, as determined from their rest-frame $U-V$ and $V-J$ colors. Webin the MOSDEF sample into five spectral types, subdividing the quiescent andstar-forming bins to better explore galaxies transitioning between the two. Weconstrain the average SFHs for each type, finding that quiescent andtransitional galaxies in the MOSDEF sample are dominated by an SFH with anaverage star-formation timescale of $\tau\sim0.1-0.2$~Gyr. These findingscontrast with measurements from the low-redshift Universe where, on average,galaxies form their stars over a more extended time period ($\tau>1$~Gyr).Furthermore, our spectral index measurements correlate with mass surfacedensity for all spectral types. Finally, we compare the average properties ofthe galaxies in our transitional bins to investigate possible paths toquiescence, and speculate on the viability of a dusty post-starburst phase.

the astrophysical journal letters

The MOSDEF Survey: Stellar Continuum Spectra and Star Formation  Histories of Active, Transitional, and Quiescent Galaxies at  1.4$<$\lowercase{z}$<$2.6