# Event-by-event mean $p_{\rm T}$ fluctuations and transverse size of color flux tube generated in $p$-$p$ collisions at $\sqrt{s}$=0.90TeV

## TL;DR

This paper introduces a phenomenological model for mean transverse momentum fluctuations in proton-proton collisions, incorporating Bose-Einstein correlations within color flux tubes, and successfully reproduces ALICE experimental data to estimate flux tube sizes.

## Contribution

It presents a novel model based on Geometrical Scaling and Bose-Einstein correlations to explain $p_T$ fluctuations in $p$-$p$ collisions, providing new insights into flux tube transverse sizes.

## Key findings

- Model reproduces ALICE data at 0.90 TeV
- Estimates transverse size of color flux tubes as a function of multiplicity
- Highlights role of Bose-Einstein correlations in fluctuations

## Abstract

We propose a novel phenomenological model of mean transverse momentum fluctuations based on the Geometrical Scaling hypothesis. Bose-Einstein correlations between two gluons generated from an identical color flux tube are taken into account as a source of the fluctuation. We calculate an event-by-event fluctuation measure $\sqrt{C_m}/\langle p_{\rm T}\rangle$ and show that ALICE data observed at $\sqrt s=$0.90 TeV for $p$+$p$ collisions are reproduced. By fitting our model to the experimental data, we evaluate the transverse size of the color flux tube as a function of the multiplicity.