The BFKL Pomeron Calculus in zero transverse dimensions: diffractive processes and survival probability for central diffractive production

Abstract

In this paper we discuss the processes of diffractive production in the framework of the BFKL Pomeron calculus in zero transverse dimension. Considering the diffractive production of a bunch of particles with not very large masses, namely, $\ln\Lb M^2/m^2 \Rb \ll \frac{1}{\bas} \ln\Lb \frac{N^2_c}{\bas^2}\Rb$, we found explicit formulae for calculation of the cross sections for the single and double diffractive production as well as for the value of the survival probability for the diffractive central production. These formulae include the influence of the correlations due to so called Pomeron loops on the values of all discussed observables. The comparison with the other approaches on the market is given. The main conclusion of this comparison: the Mueller-Patel-Salam-Iancu approximation gives sufficiently good descriptions and close to the exact result for elastic and diffractive cross section but considerable overshoot the value of the survival probability.

25 pages

References in corpus (75)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Wilson renormalization group for low x physics: towards the high density regime
• Green's Functions in the Color Field of a Large Nucleus
• The BFKL Equation from the Wilson Renormalization Group
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• The Renormalization Group Equation for the Color Glass Condensate
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Unitarity at small Bjorken x
• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Relating different approaches to nonlinear QCD evolution at finite gluon density
• Unitarity and the BFKL Pomeron
• Factorization and high-energy effective action
• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• Rare Events Statistics in Reaction--Diffusion Systems
• Structure function of the nucleus in the perturbative QCD with $N_c\to \infty$ (BFKL pomeron fan diagrams)
• Can the Higgs be seen in rapidity gap events at the Tevatron or the LHC?
• Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x
• Small-x physics beyond the Kovchegov equation
• Unitarity Corrections in High Energy QCD
• A Langevin equation for high energy evolution with pomeron loops
• Probabilities of rapidity gaps in high energy interactions
• Studies of Unitarity at Small~$x$ Using the Dipole Formulation
• Large multiplicity fluctuations and saturation effects in onium collisions
• Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• Towards a symmetric approach to high energy evolution: generating functional with Pomeron loops
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• Effective Hamiltonian for QCD evolution at high energy
• Rare fluctuations and the high-energy limit of the S-matrix in QCD
• Non-linear QCD evolution with improved triple-pomeron vertices
• A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
• Interactions of Reggeized Gluons in the Möbius Representation
• From target to projectile and back again: selfduality of high energy evolution
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Balitsky's hierarchy from Mueller's dipole model and more about target correlations
• Pomeron Vertices in Perturbative QCD in Diffractive Scattering
• Conformal invariant pomeron interaction in the perurbative QCD with large N_c
• Scaling of the Conductivity with Temperature and Uniaxial Stress in Si:B at the Metal-Insulator Transition
• Conformal Invariance and the exact solution of BFKL equations
• Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Physics with tagged forward protons at the LHC
• Remarks on High Energy Evolution
• Dense-Dilute Duality at work: dipoles of the target
• Treading on the cut: Semi inclusive observables at high energy
• More Remarks on High Energy Evolution
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• The system of four reggeized gluons and the three-pomeron vertex in the high colour limit
• Pomeron loops in zero transverse dimensions
• Non-linear evolution and high energy diffractive production
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS
• Exclusive Higgs boson production at the LHC: hard rescattering corrections
• Inclusive Gluon Production In High Energy Onium-Onium Scattering
• The elastic QCD dipole amplitude at one-loop
• On the Probabilistic Interpretation of the Evolution Equations with Pomeron Loops in QCD
• High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
• Extension of the Color Glass Condensate Approach to Diffractive Reactions
• The Iancu-Mueller factorization and high energy asymptotic behaviour
• A Pomeron Approach to Hadron-Nucleus and Nucleus-Nucleus "Soft" Interactions at High Energy
• Conformal invariant saturation
• Algebraic models for the hierarchy structure of evolution equations at small x
• Color dipoles from Bremsstrahlung in QCD evolution at high energy
• Survival probability for exclusive central diffractive production of colorless states at the LHC
• Conformal invariant equations for nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• The partonic interpretation of reggeon theory models
• Survival Probability of Large Rapidity Gaps
• Probabilistic model of Reggeon Field Theory
• Diffractive dissociation including pomeron loops in zero transverse dimensions
• High p_T Higgs signal for the LHC

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• A QCD motivated model for soft interactions at high energies
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• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• On possible implications of gluon number fluctuations in DIS data
• Quantum chromodynamics at high energy and statistical physics
• N=4 SYM and QCD motivated approach to soft interactions at high energies
• Total gluon shadowing due to fluctuation effects
• Estimations for the Higgs boson production with QCD and EW corrections in exclusive events at the LHC
• A geometrical scaling solution to the BFKL Pomeron Calculus in the saturation domain