Abstract
In this work we show that the proper analysis and interpretation of the experimental data on the multiplicity distributions of charged particles produced in jets measured in the ATLAS experiment at the LHC indicates their sub-Poissonian nature. We also show how, by using the recurrence relations and combinants of these distributions, one can obtain new and otherwise unavailable information contained in them, which may broaden our knowledge of the particle production mechanism.
Highlights
The experimentally measured multiplicity distributions PðNÞ of the produced particles are the main source of information about the dynamics of their production processes [1,2]
To interpret the results shown in the previous section, note that Eq (13) represents the so-called COMPoisson distribution introduced by Conway and Maxwell [26] as a model for steady-state queuing systems with statedependent arrival or service rates
The recurrence relation gðNÞ 1⁄4 ðN þ 1ÞPðN þ 1Þ=PðNÞ leads to multiplicity distributions of the form
Summary
The experimentally measured multiplicity distributions PðNÞ of the produced particles are the main source of information about the dynamics of their production processes [1,2]. Modified combinants are complementary to the commonly used factorial moments Fq and cumulant factorial moments Kq (see Appendix A for details) They differ in that, while Cj’s depend only on multiplicities smaller than their rank, Kq’s require the knowledge of all PðNÞ’s and are very sensitive to possible limitations of the available phase space [1,2]. We provide details concerning ATLAS data with particular attention to the fact that the measured multiplicity distributions in the jets are clearly sub-Poissonian in character (with details depending on the phase space covered). This observation will be our main point for further discussion and calculations described in Secs.
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