Is the Froissart bound relevant for the total pp cross section at s=(14   TeV)^2?
  The Froissart bound limmits the asymptotic s->infinity behavior of crossections by (\pi/t_0) ln ^2 (s/{(s_0)} where t_0 is the lightest exchanged particle, or more generally the nearest ssingularity, in the t channel. We suggest that in comparing this bound with data at energies less than those of LHC, gluebaall masses raather than the small pion mass should be used for (t_0)^{1/2}. 
Shmuel Nussinov