On Normalization of Strongly Intensive Quantities

TL;DR

This paper introduces a normalization method for strongly intensive quantities in high energy collision studies, making them dimensionless and comparable across different fluctuation measures.

Contribution

It proposes a new normalization scheme that standardizes strongly intensive quantities, facilitating consistent comparison of fluctuations across diverse physical quantities.

Findings

Normalized quantities are dimensionless and scale uniformly.

Values are one for independent particle production fluctuations.

Values are zero when no event-by-event fluctuations occur.

Abstract

A special normalization is proposed for strongly intensive quantities used in the study of event-by-event fluctuations in high energy collisions. It ensures that these measures are dimensionless and yields a common scale required for a quantitative comparison of fluctuations of different, in general dimensional, extensive quantities. Namely, the properly normalized strongly intensive quantities assume the value one for fluctuations given by the model of independent particle production and zero in the absence of event-by-event fluctuations.