High energy hadron collisions in QCD

E. M. Levin*, M. G. Ryskin

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

242 Scopus citations


In this review we present the microscopic approach to large cross section physics at high energy, based on the leading logarithmic approximation of perturbative QCD and the reggeon diagram technique. We insist that at high energy the main source of secondary hadrons is the production and fragmentation of the gluon minijets with transverse momentum qt ≈ q0, which rapidly growswith energy, namely q2t≈q20≈Λ2 exp(2.5√ln s). Such a large value of the transverse momentum allows us to adopt perturbative QCD for high hadron collisions. The completely avoid the unknown confinement problem, a new scale Q0 (Q0≈1 GeV, αs(Q20)<1) is introduced in our calculations and only momenta qt>Q0 for gluons are taken into account in any integration. All our results only slightly depend on the value of Q0. It is shown that perturbative QCD is able to describe the main properties of the hedron interactions at high energy, namely, the inclusive spectra of secondary hadrons as functions of y and qt, including small qt{less-than or approximate}300MeV, in a wide energy range √s=50-900 GeV, the multiplicity distribution, the mean transverse momentum versus multiplicity and so on. We use only three phenomenological parameters in such a description of the experimental data; these values are in agreement with theoretical estimates. Our approach predicts a rapid increase of the mean transverse momentum for secondary hadrons, qt≈q0, where q0=2.5 GeV at √S=0.5 TeV, and q0{reversed tilde equals}7 GeV at √S=40TeV, the total multiplicity N≈q20, the total cross section σt≈ln 2 s and a comparatively slow increase of the diffraction dissociation cross section σD≈ln s.

Original languageEnglish
Pages (from-to)268-382
Number of pages115
JournalPhysics Reports
Issue number6
StatePublished - May 1990
Externally publishedYes


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