Prediction of σpptot at high energies with highly confident uncertainty band

Physics

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Total Cross Sections, Elementary Particle Processes, Cosmic Rays

Scientific paper

Prediction procedures of significant physical quantities represent a useful tool in drawing inferences about the behavior of the out-of- the range data and so, about the generator events. Theoretical predictions out of the range of a data set involve a certain degree of uncertainty. With the aim of evaluating the confidence of such predictions it is convenient to determine the uncertainty associated to the predictions of the data. In the context of p-p cross sections at very high energies a great deal of work has been done out of the energy range of accelerators using different models (single-pomeron, dipole pomeron, multiple-diffraction, QCD and so on) to extrapolate accelerator data: predictions are usually compared to cosmic ray data producing a disagreement which explanation has also been widely discussed in the literature. We claim that such comparison requires of a highly confident band of uncertainty for any parametrization model. Here, we present a statistical method that allows to determine the relevant uncertainty: predictions are developed on the basis of the multiple-diffraction model to estimate σpptot in the center of mass range 10-40 TeV (1017-1018 eV in lab) which covers both LHC and the highest cosmic ray energies. Our study show that extrapolations without a trusful delimitation of error bands may agree with the results of Cosmic ray experiments, because experimental error bands are very large, but as soon as such a delimitation is made the predicted energy dependence of σpptot is, in general, flatter than that of cosmic ray results. .

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