%0 Journal Article %T The Mean Star Formation Rate of X-ray selected Active Galaxies and its Evolution from z=2.5: Results from PEP-Herschel %A D. J. Rosario %A P. Santini %A D. Lutz %A L. Shao %A R. Maiolino %A D. M. Alexander %A B. Altieri %A P. Andreani %A H. Aussel %A F. E. Bauer %A S. Berta %A A. Bongiovanni %A W. N. Brandt %A M. Brusa %A J. Cepa %A A. Cimatti %A T. J. Cox %A E. Daddi %A D. Elbaz %A A. Fontana %A N. M. F£¿rster Schreiber %A R. Genzel %A A. Grazian %A E. Le Floch %A B. Magnelli %A V. Mainieri %A H. Netzer %A R. Nordon %A I. P¨¦rez Garcia %A A. Poglitsch %A P. Popesso %A F. Pozzi %A L. Riguccini %A G. Rodighiero %A M. Salvato %A M. Sanchez-Portal %A E. Sturm %A L. J. Tacconi %A I. Valtchanov %A S. Wuyts %J Physics %D 2012 %I arXiv %R 10.1051/0004-6361/201219258 %X (Abridged) We study relationships between the SFR and the nuclear properties of X-ray selected AGNs out to z=2.5, using far-IR data in three extragalactic deep fields as part of the PACS Evolutionary Probe (PEP) program. Guided by studies of intrinsic infra-red AGN SEDs, we show that the majority of the FIR emission in AGNs is produced by cold dust heated by star-formation. We uncover characteristic redshift-dependent trends between the mean FIR luminosity (L_fir) and accretion luminosity (L_agn) of AGNs. At low AGN luminosities, accretion and SFR are uncorrelated at all redshifts, consistent with a scenario where most low-luminosity AGNs are primarily fueled by secular processes in their host galaxies. At high AGN luminosities, a significant correlation is observed between L_fir and L_agn, but only among AGNs at low and moderate redshifts (z<1). We interpret this as a signature of the increasing importance of major-mergers in driving both the growth of super-massive black holes (SMBHs) and global star-formation in their hosts at high AGN luminosities. However, we also find that the enhancement of SFR in luminous AGNs weakens or disappears at high redshifts (z>1). This suggests that the role of mergers in SMBH-galaxy co-evolution is less important at these epochs. At all redshifts, we find essentially no relationship between L_fir and nuclear obscuration across five orders of magnitude in obscuring column density, suggesting that various different mechanisms are likely to be responsible for obscuring X-rays in active galaxies. We explain our results within a scenario in which two different modes of SMBH fueling operate among low- and high-luminosity AGNs. We postulate, guided by emerging knowledge about the properties of high redshift galaxies, that the dominant mode of accretion among high-luminosity AGNs evolves with redshift. %U http://arxiv.org/abs/1203.6069v2