Multiplicity distribution in pseudo-rapidity windows and charge conservation

Charged multiplicity distribution in a pseudo-rapidity window is formulated under the assumption that the charge conservation is satisfied in the full phase space. At first, we analyze measured charged particle multiplicity distributions in pseudo-rapidity windows in LHC by CMS and ALICE collaborations with the two probability distributions. One is the convolution of negative binomial and Poisson distributions, and the other is the Glauber-Lachs formula. Each distribution is considered as an analogy of the quantum optics. Next, we analyze the data with the double GL formulae for $|\eta|<2.4$ at 7 TeV by the CMS collaboration and for $|\eta|<1.5$ at 8 TeV by the ALICE collaboration to describe the global structure of measured distributions.