Total and inelastic cross-sections at LHC at CM energy of 7 TeV and beyond

Abstract

We discuss expectations for the total and inelastic cross-sections at LHC CM energies $\sqrt{s}=7TeV$ {and $14TeV$} obtained in an eikonal minijet model augmented by soft gluon $k_t$-resummation, which we describe in some detail. We present a band of predictions which encompass recent LHC data and suggest that the inelastic cross-section described by two channel eikonal models include only uncorrelated processes. We show that this interpretation of the model is supported by the LHC data.

32 pages, 6 figures, Version to appear in Physical Review D

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• Exploring central opacity and asymptotic scenarios in elastic hadron scattering
• Checks of asymptotia in pp elastic scattering at LHC
• Total Hadronic Cross Sections and π^\mp π^+ Scattering
• Nonlinear effects and the behavior of total hadronic and photonic cross sections
• Total Hadronic Cross Section Data and the Froissart-Martin Bound
• Improvements to the Froissart bound from AdS/CFT
• Self-similarity and the Froissart bound
• Inelastic cross-section and Survival Probabilities at LHC in mini-jet models
• p-air production cross-section and uncorrelated mini-jets processes in pp-scattering