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arXiv · 2106.06967

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

Eugene Levin
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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 $M_k \propto N^k$ 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:$ \frac{\sigma_n}{\sigma_{in}}=\frac{1}{N} ( \frac{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.

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Eugene Levin. 2021-06-13. Multiplicity distribution of dipoles in QCD from Le, Mueller and Munier equation. https://doi.org/10.1103/physrevd.104.056025

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