Abstract
The LHC has released precise measurements of elastic proton-proton scattering that provide a unique constraint on the asymptotic behavior of the scattering amplitude at high energies. Recent reanalyses of part of these data indicate that the central values of some forward quantities would be different than initially observed. We introduce correlation information between the original and the reanalyzed data sets in a way suitable for a global fitting analysis of all data. The careful treatment of correlated errors leads to much less stringent limits on the $\rho$ uncertainty and sets up the stage for describing the forward data using a scattering amplitude dominated by only crossing-even terms. In the light of these correlated data we determine the parameters of the soft Pomeron from the Regge theory. We use Born-level and eikonalized amplitudes. In the Born-level case we estimate the contribution of the double Pomeron exchange, while in the latter case we investigate the role of the eikonalization in both the one- and two-channel models. The role of the proton-Pomeron vertex form and of the nearest $t$-channel singularity in the Pomeron trajectory receives particular attention. We discuss the implications of our results and present predictions for the total cross section and the $\rho$ parameter in proton-proton collisions at LHC and cosmic ray energies.
Highlights
In the light of these correlated data, we determine the parameters of the soft Pomeron from the Regge theory
We discuss the implications of our results and present predictions for the total cross section and the ρ parameter in proton-proton collisions at LHC and cosmic ray energies
Diffractive processes account for a substantial fraction of hadron-hadron total cross sections at high energies
Summary
Diffractive processes account for a substantial fraction of hadron-hadron total cross sections at high energies. The small value of α0P usually obtained from screened Regge models indicates that the soft Pomeron may be treated perturbatively, since in the Gribov Reggeon calculus the mean tranpsveffiffiffirffisffi e momentum of the partons is given by hpTi 1⁄4 1= α0P [10,11]. This perturbative approach raises the possibility for building a fundamental theory for soft processes based upon QCD.
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