Proposing a New Constraint for Predictions of pp, Formulap Total Cross Sections and Ratio at LHC

We propose a new constraint (1) corresponding to the FESR (with the moment n = -1) free from unphysical regions. Using this constraint(1) together with the constraint(2) (with the moment n = 1), we search for the simultaneous best fit to the data points of σ (+) tot and p (+) ratio up to the SPS energies to determine those values at higher energies. We then predict σ (+) tot = 107.1 ± 2.6 mb, p (+) = 0.127 ± 0.004 at the LHC energy (√s = 14 TeV).