Poissonian limit of soft gluon multiplicity

Abstract

It is shown that the gluons produced with small transverse momenta $k_{\perp }$ inside a jet ($k_{\perp }<k_{\perp }^{cut}$, $k_{\perp }^{cut}\to 0$) are independently emitted from the primary parton, as QCD coherence suppresses their showering. Consequently, the low $k_{\perp }$ gluons follow a Poisson distribution, very much like the soft photons radiated by a charged particle in QED. On the contrary, the distribution of gluons with limited absolute momenta $|\vec{k}|<k^{cut}$ remains non-Poissonian even for small $k^{cut}$. It will be interesting to find out to what extent this perturbative prediction for partons survives the hadronization process.

LaTeX2e, 41 pages, 8 figures

References in corpus (4)

• Perturbative QCD Approach to Multiparticle Production
• Multiplicity distributions of gluon and quark jets and tests of QCD analytic predictions
• Unified QCD Description of Hadron and Jet Multiplicities
• Perturbative QCD description of multiparticle correlations in quark and gluon jets

Cited by in corpus (10)

• Hadron Multiplicities
• Multiplicity moments in deep inelastic scattering at HERA
• QCD explanation of oscillating hadron and jet multiplicity moments
• QCD coherence and correlations of particles with restricted momenta in hadronic Z decays
• Non-perturbative gluon evolution, squeezing, correlations and chaos in jets
• Systematics of Leading Particle Production
• Multiparticle Production in QCD Jets
• Suppression of multi-gluon fluctuations in jets at a Linear Collider
• Multiparticle Production in the Soft Limit and QCD Coherence
• Three-particle correlations in QCD jets and beyond