Soft gluon radiation and energy dependence of total hadronic cross-sections

Abstract

An impact parameter representation for soft gluon radiation is applied to obtain both the initial decrease of the total cross-section (${\sigma }_{tot}$) for proton-proton collisions as well as the later rise of ${\sigma }_{tot}$ with energy for both $pp$ and $p\bar{p}$. The non-perturbative soft part of the eikonal includes only limited low energy gluon emission and leads to the initial decrease in the proton-proton cross- section. On the other hand, the rapid rise in the hard, perturbative jet part of the eikonal is tamed into the experimentally observed mild increase by soft gluon radiation whose maximum energy rises slowly with energy.

30 pages, 6 figures. Version accepted for publication in Physical Review D. Additional section with explanatory material added making the paper more self contained and two figures changed to have a complete summary of the available accelerator data

References in corpus (21)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Total cross sections
• Benchmarks for the Forward Observables at RHIC, the Tevatron-run II and the LHC
• Measurement of the Proton Structure Function F_2 at Very Low Q^2 at HERA
• Glueball Regge trajectories and the Pomeron -- a lattice study --
• Measurement of the Total Photon Proton Cross Section and its Decomposition at 200~GeV Centre of Mass Energy
• Measurement of the photon-proton total cross section at a center-of-mass energy of 209 GeV at HERA
• An eikonal model for multiparticle production in hadron-hadron interactions
• Soft QCD Dynamics of Elastic Scattering in Impact Parameter Representation
• Total Hadronic Cross-Section of Photon-Photon Interactions at LEP
• Extending the Frontiers - Reconciling Accelerator and Cosmic Ray p-p Cross Sections
• Total Cross Section in gamma gamma Collisions at LEP
• Hadronic Total Cross-sections Through Soft Gluon Summation in Impact Parameter Space
• Bloch-Nordsieck Summation and Partonic Distributions in Impact Parameter Space
• Eikonalised minijet model analysis of sigma_(gamma gamma)^(inel)
• Perturbative QCD theory (includes our knowledge of alpha_s)
• Consequences of the Factorization Hypothesis in pbar p, pp, gamma p and gamma gamma Collisions
• JetWeb: A WWW Interface and Database for Monte Carlo Tuning and Validation
• Hadronic Cross-sections in two photon Processes at a Future Linear Collider
• Total Hadronic Cross-Section for Photon-Photon Interactions at LEP
• Hadronic Equipartition of Quark and Glue Momenta

Cited by in corpus (34)

• Simulation of multiple partonic interactions in Herwig++
• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Elastic pp scattering from the optical point to past the dip: an empirical parametrization from ISR to LHC
• Total cross-section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation
• Soft Gluon kt-Resummation and the Froissart bound
• Survival probability of large rapidity gaps in a QCD model with a dynamical infrared mass scale
• Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC
• $\gamma p$ and $\gamma \gamma$ scattering from $\bar{p}p$, $pp$ forward amplitudes in a QCD eikonal model with a dynamical gluon mass
• Multiple Parton Interactions in Hadron Collisions and Diffraction
• The Underlying Event and the Total Cross Section from Tevatron to the LHC
• Multiple Hard Partonic Collisions with Correlations in Proton-Proton Scattering
• Total and inelastic cross-sections at LHC at CM energy of 7 TeV and beyond
• Analysis and implications of precision near-forward TOTEM data
• Non-perturbative QCD effects in forward scattering at LHC
• Gluon saturation and the Froissart bound: a simple approach
• Cross sections, multiplicity and moment distributions at the LHC
• Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics
• Nonlinear effects and the behavior of total hadronic and photonic cross sections
• Modeling pion and proton total cross-sections at LHC
• Improvements to the Froissart bound from AdS/CFT
• Diffractive excitation in $pp$ and $pA$ collisions at high energies
• Inelastic cross-section and Survival Probabilities at LHC in mini-jet models
• Energy-dependent dipole form factor in a QCD-inspired model
• The small $x$ behavior of the gluon structure function from total cross sections
• Minijets, soft gluon resummation and photon cross-sections
• Photoproduction total cross section and shower development
• Inelastic cross sections, overlap functions and Cq moments from ISR to LHC energies in proton interactions
• p-air production cross-section and uncorrelated mini-jets processes in pp-scattering
• Infrared gluons, intrinsic transverse momentum and rising total cross-sections
• Froissart bound and self-similarity based models of proton structure functions
• Multiplicity of photohadronization and photon--hadron scaling violation
• Modeling Double Parton Scattering at LHC
• The non-diffractive pp cross-section and Survival Probabilities at LHC
• White Holes as the Asymptotic Limit of Evaporating Primordial Black Holes