Oscillations in counting statistics

TL;DR

This paper investigates oscillations in multiplicity distributions in high-energy pp collisions, revealing universal oscillatory behavior in counting statistics that differ from traditional models, indicating deeper underlying physical phenomena.

Contribution

It identifies and analyzes oscillations in multiplicity distributions that are not captured by standard Negative Binomial models, suggesting a universal phenomenon across physics.

Findings

Oscillations observed in multiplicity distributions P(N)

Standard Negative Binomial Distributions do not exhibit these oscillations

Oscillatory behavior linked to cascade-stochastic processes

Abstract

The very large transverse momenta and large multiplicities available in present LHC experiments on pp collisions allow a much closer look at the corresponding distributions. Some time ago we discussed a possible physical meaning of apparent log-periodic oscillations showing up in p_T distributions (suggesting that the exponent of the observed power-like behavior is complex). In this talk we concentrate on another example of oscillations, this time connected with multiplicity distributions P(N). We argue that some combinations of the experimentally measured values of P(N) (satisfying the recurrence relations used in the description of cascade-stochastic processes in quantum optics) exhibit distinct oscillatory behavior, not observed in the usual Negative Binomial Distributions used to fit data. These oscillations provide yet another example of oscillations seen in counting statistics in many different, apparently very disparate branches of physics further demonstrating the universality of this phenomenon.