Multiplicity distribution of dipoles in QCD from Le, Mueller and Munier equation

2021/06/30 by Eugene Levin
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1103/physrevd.104.056025

published as Phys. Rev. D 104, 056025 (2021) · 15pp. 1 figure. arXiv admin note: text overlap with arXiv:2006.11793, arXiv:2008.10911

arxiv created 2021/09/02 · arxiv updated 2021/10/04

Abstract

In this paper we derived in QCD the BFKL linear, inhomogeneous equation for the factorial moments of multiplicity distribution(M_k) from LMM equation. In particular, the equation for the average multiplicity of the color-singlet dipoles(N) turns out to be the homogeneous BFKL while M_k ∝ N^k at small x. Second, using the diffusion approximation for the BFKL kernel we show that the factorial moments are equal to: M_k=k!N( N-1)^k-1 which leads to the multiplicity distribution: \fracσ_nσ_in=(1)/(N) ( (N - 1)/(N))^{n - 1}. We also suggest a procedure for finding corrections to this multiplicity distribution which will be useful for descriptions of the experimental data.

Citations

• High energy QCD: multiplicity distribution and entanglement entropy
• High energy QCD: multiplicity dependence of quarkonia production