We present an ALMA-Herschel joint analysis of sources detected by the ALMA Lensing Cluster Survey (ALCS) at 1.15mm. Herschel/PACS and SPIRE data at 100-500{mu}m are deblended for 180 ALMA sources in 33 lensing cluster fields that are detected either securely (141 sources; in our main sample) or tentatively at S/N>=4 with cross-matched HST/Spitzer counterparts, down to a delensed 1.15mm flux density of ~0.02mJy. We performed far-infrared spectral energy distribution modeling and derived the physical properties of dusty star formation for 125 sources (109 independently) that are detected at >2{sigma} in at least one Herschel band. A total of 27 secure ALCS sources are not detected in any Herschel bands, including 17 optical/near-IR-dark sources that likely reside at z=4.2+/-1.2. The 16th, 50th, and 84th percentiles of the redshift distribution are 1.15, 2.08, and 3.59, respectively, for ALCS sources in the main sample, suggesting an increasing fraction of z~1-2 galaxies among fainter millimeter sources (f_1150_~0.1mJy). With a median lensing magnification factor of {mu}=2.6_-0.8_^+2.6^, ALCS sources in the main sample exhibit a median intrinsic star formation rate of 94_-54_^+84^M_{sun}/yr, lower than that of conventional submillimeter galaxies at similar redshifts by a factor of ~3. Our study suggests weak or no redshift evolution of dust temperature with LIR10^12^L{sun}_, the dust temperatures show no evolution across z~1-4 while being lower than those in the local universe. For the highest-redshift source in our sample (z=6.07), we can rule out an extreme dust temperature (>80K) that was reported for MACS0416 Y1 at z=8.31.

Cone search capability for table J/ApJ/932/77/table1 (Summary of Herschel observations for 33 ALCS galaxy cluster fields)

Cone search capability for table J/ApJ/932/77/tablec1 (Herschel photometry)