Total cross-section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation

Abstract

New results are presented for total $\mathrm{pp}/\bar{\mathrm{p}}\mathrm{p}$ cross-sections, in the framework of our QCD based model (GGPS). This is an improved eikonal mini-jet model, where soft gluon radiation tames the fast energy rise normally present in mini-jet models. We discuss the variability in our predictions and provide a handy parametrization of our results for the LHC. We find that our model predictions span the range ${\sigma }_{tot}^{LHC}=100_{-13}^{+10}mb$. While this matches nicely with the range of most other models, it does not agree with recent ones which include a "hard" Pomeron, even though our model does include hard scattering. We compute the survival probability for Large Rapidity Gap (LRG) events at the LHC and at the Tevatron. These events are relevant, for example, for Higgs signal in the $WW$ fusion process. We also explore whether measurements of the total cross-sections at the LHC can help us sharpen the model parameters and hence estimates for these survival probabilities, further.

15 pages, 3 figures, LaTeX

References in corpus (32)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Total cross sections
• Global QCD Analysis and the CTEQ Parton Distributions
• NNLO global parton analysis
• Calculation of Power Corrections to Hadronic Event Shapes
• Extracting Higgs boson couplings from LHC data
• Benchmarks for the Forward Observables at RHIC, the Tevatron-run II and the LHC
• Can the Higgs be seen in rapidity gap events at the Tevatron or the LHC?
• Photon-Proton and Photon-Photon Scattering from Nucleon-Nucleon Forward Amplitudes
• The rapidity gap Higgs signal at LHC
• Does the hard pomeron obey Regge factorisation?
• New evidence for the saturation of the Froissart bound
• Evidence for the saturation of the Froissart bound
• Energy and Color Flow in Dijet Rapidity Gaps
• Energy dependence of the survival probability of large rapidity gap
• Influence of a dynamical gluon mass in the $pp$ and $\bar{p}p$ forward scattering
• Soft gluon radiation and energy dependence of total hadronic cross-sections
• Dijet hadroproduction with rapidity gaps and QCD double logarithmic effects
• Double parton scattering, diffraction and effective cross section
• Rapidity gap signals in Higgs production at the SSC
• Hadronic Total Cross-sections Through Soft Gluon Summation in Impact Parameter Space
• Bloch-Nordsieck Summation and Partonic Distributions in Impact Parameter Space
• The hard pomeron in soft data
• Survival probability of large rapidity gaps in a QCD model with a dynamical infrared mass scale
• Predictions of pp, pbar p total cross section and rho ratio at LHC and cosmic-ray energies
• Analyticity as a Robust Constraint on the LHC Cross Section
• Analytic models and forward scattering from accelerator to cosmic-ray energies
• Survival Probability of Large Rapidity Gaps in pbar p, pp, gamma p and gamma gamma Collisions
• Survival probability for exclusive central diffractive production of colorless states at the LHC
• Uncertainties on Central Exclusive Scalar Luminosities from the unintegrated gluon distributions
• Theoretical expectations for total cross-sections at the large hadron collider

Cited by in corpus (29)

• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Soft Gluon kt-Resummation and the Froissart bound
• On the rise of proton-proton cross-sections at high energies
• Central exclusive production of dijets at hadronic colliders
• 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
• Checks of asymptotia in pp elastic scattering at LHC
• Non-perturbative QCD effects in forward scattering at LHC
• 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
• Extrapolation of Multiplicity distribution in p+p(\bar(p)) collisions to LHC energies
• Prompt photon production in double-Pomeron-exchange events at the LHC
• Total photoproduction cross-section at very high energy
• Diffractive di-jet production at the LHC with a Reggeon contribution
• Improvements to the Froissart bound from AdS/CFT
• Modeling pion and proton total cross-sections at LHC
• Self-similarity and the Froissart bound
• Inelastic cross-section and Survival Probabilities at LHC in mini-jet models
• Energy-dependent dipole form factor in a QCD-inspired model
• Higgs Central Exclusive Production
• Central exclusive diffractive Higgs boson production in hadron-nucleus and nucleus-nucleus collisions at the LHC
• Two parton shower background for associate W Higgs production
• 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
• Froissart bound and self-similarity based models of proton structure functions
• Infrared gluons, intrinsic transverse momentum and rising total cross-sections
• Total Cross-sections at very high energies: from protons to photons