Predictions of pp,p¯p total cross section and ρ ratio at LHC and cosmic-ray energies

We propose to use rich informations on the pp,p¯p total cross sections σtot below N(∼10GeV) in order to predict the total cross section and ρ ratio at very high energies. Using the FESR as a constraint for high energy parameters, we search for the simultaneous best fit to the data points of σtot and ρ ratio up to some energy (e.g., ISR, Tevatron) to determine the high-energy parameters. We then predict σtot and ρ in the LHC and high-energy cosmic-ray regions. Using the data up to s=1.8TeV (Tevatron), we predict σtotpp and ρpp at the LHC energy (s=14TeV) as 106.3±5.1syst±2.4statmb and 0.126±0.007syst±0.004stat, respectively. The predicted values of σtot in terms of the same parameters are in good agreement with the cosmic-ray experimental data sample up to Plab∼108-9GeV by Block, Halzen, and Stanov.