Relevance of baseline hard p+p spectra for nucleus-nucleus and proton+nucleus physics at high pT David d'Enterria, Nevis Labs. Columbia University I will discuss the importance of having a concurrent and precise measurement of baseline high-pT spectra in p+p collisions at the same center-of-mass energies as the A+A, p,d+A data in order to correctly interpret the QCD medium phenonema in the hard regime. Four illustrative cases will be presented and discussed: (i) p+p --> pi+X at sqrt(s)=17.3 GeV: Is high pT A+A hadroproduction at SPS enhanced or suppressed ?, (ii) p+p --> pi+X at sqrt(s) = 62.4 GeV: How accurate is our current ISR-averaged p+p reference ?, (iii) p+p --> h+X at sqrt(s) = 200 GeV at forward rapidities versus pQCD: Is there truly suppresssion in d+Au collisions at eta=3.2 ?, (iv) p+p --> gamma+X at sqrt(s) = 200 GeV: Is there a way to disentangle suppressed (quenched jet fragmentation) prompt photons from enhanced (thermal) photons in Au+Au collisions at RHIC ?