Reciprocal symmetry and KNO scaling violation in proton-proton collisions

Fuente: arXiv
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Autores principales: Ouchen, Mustapha, Prygarin, Alex
Formato: Preprint
Publicado: 2026
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author Ouchen, Mustapha
Prygarin, Alex
author_facet Ouchen, Mustapha
Prygarin, Alex
contents We analyze the charged particle multiplicity distributions in $p-p$ collisions and discuss the violation of the Koba--Nielsen--Olesen (KNO) scaling. We extract the deviations from the leading exponential behavior of the KNO scaled probability and identify a reciprocal symmetry $z\leftrightarrow 1/z$ in the KNO violating corrections observed in the ATLAS and CMS data at $\sqrt{s}=7,\,8,\,13$~TeV. The symmetry imposes a local constraint on the multiplicity distribution at $n=\langle n\rangle$, namely $P'(\langle n\rangle)=-P(\langle n\rangle)/\langle n\rangle$, which we verify directly in the data. We use this constraint to extract the entanglement entropy from the well-measured region $n\simeq\langle n\rangle$, avoiding the large uncertainties associated with the distribution tail.
format Preprint
id arxiv_https___arxiv_org_abs_2605_00128
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Reciprocal symmetry and KNO scaling violation in proton-proton collisions
Ouchen, Mustapha
Prygarin, Alex
High Energy Physics - Phenomenology
High Energy Physics - Theory
We analyze the charged particle multiplicity distributions in $p-p$ collisions and discuss the violation of the Koba--Nielsen--Olesen (KNO) scaling. We extract the deviations from the leading exponential behavior of the KNO scaled probability and identify a reciprocal symmetry $z\leftrightarrow 1/z$ in the KNO violating corrections observed in the ATLAS and CMS data at $\sqrt{s}=7,\,8,\,13$~TeV. The symmetry imposes a local constraint on the multiplicity distribution at $n=\langle n\rangle$, namely $P'(\langle n\rangle)=-P(\langle n\rangle)/\langle n\rangle$, which we verify directly in the data. We use this constraint to extract the entanglement entropy from the well-measured region $n\simeq\langle n\rangle$, avoiding the large uncertainties associated with the distribution tail.
title Reciprocal symmetry and KNO scaling violation in proton-proton collisions
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2605.00128