Hadronic forward scattering: Predictions for the Large Hadron Collider and cosmic rays

Abstract

The status of hadron-hadron interactions is reviewed, with emphasis on the forward and near-forward scattering regions. From analyticity, Finite Energy Sum Rules are introduced from which new analyticity constraints are derived that exploit the many very accurate low energy experimental cross sections, i.e., they constrain the values of the asymptotic cross sections and their derivatives at low energies just above the resonance regions, allowing us new insights into duality. A new robust fitting technique is introduced in order to `clean up' large data samples that are contaminated by outliers. Using our analyticity constraints, new methods of fitting high energy hadronic data are introduced which result in much more precise estimates of the fit parameters, allowing accurate extrapolations to much higher energies. It's shown that the $\gamma p$, ${\pi }^{\pm }p$ and nucleon-nucleon cross sections {\em all} go asymptotically as ${\ln }^{2}s$, saturating the Froissart bound, while conclusively ruling out $\ln s$ and $s^{\alpha }$ ($\alpha \sim 0.08$) behavior. Implications of this saturation for predictions of ${\sigma }_{pp}$ and ${\rho }_{pp}$ at the LHC and for cosmic rays p-air cross sections are given.

191 pages, 67 figures, 16 tables; corrected fig. 15

References in corpus (16)

• Soft diffraction and the elastic slope at Tevatron and LHC energies: a multi-Pomeron approach
• Photon-Proton and Photon-Photon Scattering from Nucleon-Nucleon Forward Amplitudes
• Evidence for the saturation of the Froissart bound
• Energy dependence of the survival probability of large rapidity gap
• Extending the Frontiers - Reconciling Accelerator and Cosmic Ray p-p Cross Sections
• Proton-proton Cross Section at sqrt(s) \sim 30 TeV
• Rapidity gap signals in Higgs production at the SSC
• Investigations of the pi N total cross sections at high energies using new FESR: log nu or (log nu)^2
• Predictions of pp, pbar p total cross section and rho ratio at LHC and cosmic-ray energies
• Sifting data in the real world
• Survival Probability of Large Rapidity Gaps in pbar p, pp, gamma p and gamma gamma Collisions
• Predicting Proton-Air Cross Sections at sqrt s ~30 TeV, using Accelerator and Cosmic Ray Data
• Consequences of the Factorization Hypothesis in pbar p, pp, gamma p and gamma gamma Collisions
• Color Evaporation Induced Rapidity Gaps
• New limits on "odderon" amplitudes from analyticity constraints
• On the Discrepancy of pp, pbar p Total Cross Sections at sqrt s = 1.8TeV

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• Dispersion relations and subtractions in hard exclusive processes
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• Reflective scattering from unitarity saturation
• Proton-air cross section measurement with the ARGO-YBJ cosmic ray experiment
• The High-Energy Behavior of Photon, Neutrino and Proton Cross Sections
• Soft processes at the LHC, I: Multi-component model
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• Experimental Confirmation that the Proton is Asymptotically a Black Disk
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• Soft physics at the LHC
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• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
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• Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model
• Forward Elastic Scattering and Pomeron Models
• Toward the existence of odderon as a three-gluon bound state
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• Elastic scattering of protons from sqrt{s}=23.5 GeV to 7 TeV from a generalized Bialas-Bzdak model
• Implications of a Froissart bound saturation of ${\gamma }^{\ast }$-$p$ deep inelastic scattering. Part II. Ultra-high energy neutrino interactions
• Searching for the Odderon in Ultraperipheral Proton--Ion Collisions at the LHC
• Comprehensive fits to high energy data for $\sigma$, $\rho$, and $B$ and the asymptotic black-disk limit
• Evidence for a Constant `Edge' in Proton-Proton Scattering at Very High Energies
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• Two- and three-gluon glueballs of $C=+$
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• Ultra-high Energy Predictions of proton-air Cross Sections from Accelerator Data
• Froissart Bound on Total Cross-section without Unknown Constants
• Nonlinear effects and the behavior of total hadronic and photonic cross sections
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• Hollowness in pp scattering
• Recent Results from the CERN LHC Experiment TOTEM -- Implications for Odderon Exchange
• Total Hadronic Cross Section Data and the Froissart-Martin Bound
• Total photoproduction cross-section at very high energy
• Froissart Bound on Inelastic Cross Section Without Unknown Constants
• Asymptotic Bessel-function expansions for Legendre and Jacobi functions
• The slope, curvature, and higher parameters in $pp$ and $\bar{p}p$ scattering, and the extrapolation of measurements of $d\sigma (s,t)/dt$ to $t=0$
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• Pomeron pole plus grey disk model: real parts, inelastic cross sections and LHC data
• Elegent -- an elastic event generator
• Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV
• Eikonal and asymptotic fits to high energy data for $\sigma$, $\rho$, and $B$: An update with curvature corrections
• Correlations among elastic and inelastic cross-sections and slope parameter
• Commentary on "Total Hadronic Cross Section Data and the Froissart-Martin Bound", by Fagundes, Menon and Silva
• p-air production cross-section and uncorrelated mini-jets processes in pp-scattering
• Simple Lévy-$\alpha$ stable model analysis of elastic $pp$ and $p\bar{p}$ low-$|t|$ data from SPS to LHC energies
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• Comment on "More on Heisenberg's model for high energy nucleon-nucleon scattering"
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• The two types of Cherenkov gluons at LHC energies
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• Particle Interactions in Matter at the Terascale: the Cosmic-Ray Experience