sSFR (=SFR/M_star) plotted against redshift. Individual GRBHs, SMGs, and ULIRgs are shown in the left panel, and medians and means of the GRBH sample in the right. As in Fig. 4, in the left panel the GRBHs observed by Herschel are indicated by filled (for IR detections) and open (IR non-detections) circles, and the other GRBH samples shown are also coded as in Fig. 4. The curves show the results from Karim et al. (2011), and correspond to three values of log  (M_star) = 9.6 (dotted line), 10.4 (dashed), and >11 M_⊙ (dot-dashed). The GRBH medians in the right panel, shown as filled circles for the lowest-mass bins at a given redshift, and and filled squares for the highest-mass bins as described in the text. The vertical error bars correspond to the upper and lower quartiles of the GRBH distributions, and the horizontal error bars to the width of the redshift bins (for the GRBH data). Open squares show the means of the GRBH distributions within each redshift bin, and the error bars correspond to the standard deviation. As in Fig. 8, for the GRBH statistics, we considered only the hosts with M_star above the Ilbert et al. (2013) survey M_low limit.