Roseboom, I. G.Ivison, R. J.Greve, T. R.Amblard, A.Arumugam, V.Auld, R.Aussel, H.Bethermin, M.Blain, A.Bock, J.Boselli, A.Brisbin, D.Buat, V.Burgarella, D.Castro-Rodriguez, N.Cava, A.Chanial, P.Chapin, E.Chapman, S.Clements, D. L.Conley, A.Conversi, L.Cooray, A.Dowell, C. D.Dunlop, J. S.Dwek, E.Eales, S.Elbaz, D.Farrah, D.Franceschini, A.Glenn, J.Griffin, M.Halpern, M.Hatziminaoglou, E.Ibar, E.Isaak, K.Lagache, G.Levenson, L.Lu, N.Madden, S.Maffei, B.Mainetti, G.Marchetti, L.Marsden, G.Morrison, G.Mortier, A. M. J.Nguyen, H. T.O'Halloran, B.Oliver, S. J.Omont, A.Page, M. J.Panuzzo, P.Papageorgiou, A.Pearson, C. P.Perez-Fournon, I.Pohlen, M.Rawlings, J. I.Raymond, G.Rigopoulou, D.Rizzo, D.Rodighiero, G.Rowan-Robinson, M.Schulz, B.Scott, DouglasSeymour, N.Shupe, D. L.Smith, A. J.Stevens, J. A.Symeonidis, M.Trichas, M.Tugwell, K. E.Vaccari, M.Valtchanov, I.Vieira, J. D.Viero, M. P.Vigroux, L.Wardlow, J.Wang, L.Wright, G.Xu, C. K.Zemcov, M.2014-03-122014-03-122011-09-13Roseboom, I. G., R. J. Ivison, T. R. Greve, A. Amblard, et al. 2011. "The Herschel Multi-Tiered Extragalactic Survey: SPIRE-mm Photometric Redshifts." Monthly Notices of the Royal Astronomical Society 419:2758.0035-8711http://hdl.handle.net/10222/45420http://dx.doi.org/10.1111/j.1365-2966.2011.19827.xWe investigate the potential of submm-mm and submm-mm-radio photometric redshifts using a sample of mm-selected sources as seen at 250, 350 and 500 {\mu}m by the SPIRE instrument on Herschel. From a sample of 63 previously identified mm-sources with reliable radio identifications in the GOODS-N and Lockman Hole North fields 46 (73 per cent) are found to have detections in at least one SPIRE band. We explore the observed submm/mm colour evolution with redshift, finding that the colours of mm-sources are adequately described by a modified blackbody with constant optical depth {\tau} = ({\nu}/{\nu}0)^{\beta} where {\beta} = +1.8 and {\nu}0 = c/100 {\mu}m. We find a tight correlation between dust temperature and IR luminosity. Using a single model of the dust temperature and IR luminosity relation we derive photometric redshift estimates for the 46 SPIRE detected mm-sources. Testing against the 22 sources with known spectroscopic, or good quality optical/near-IR photometric, redshifts we find submm/mm photometric redshifts offer a redshift accuracy of |z|/(1+z) = 0.16 (= 0.51). Including constraints from the radio-far IR correlation the accuracy is improved to |z|/(1 + z) = 0.15 (= 0.45). We estimate the redshift distribution of mm-selected sources finding a significant excess at z > 3 when compared to ~ 850 {\mu}m selected samples.article4192758