Reciprocal symmetry and KNO scaling violation in proton-proton collisions
Mustapha Ouchen, Alex Prygarin
TLDR
This paper analyzes KNO scaling violation in p-p collisions, identifying a reciprocal symmetry to extract entanglement entropy.
Key contributions
- Analyzes charged particle multiplicity distributions in proton-proton collisions.
- Discovers a reciprocal symmetry ($z \leftrightarrow 1/z$) in KNO scaling violation corrections in ATLAS/CMS data.
- Derives and verifies a local constraint $P'(\langle n\rangle)=-P(\langle n\rangle)/\langle n\rangle$ from this symmetry.
- Applies this constraint to accurately extract entanglement entropy, avoiding tail uncertainties.
Why it matters
This paper reveals a reciprocal symmetry in KNO scaling violation in proton-proton collisions, deriving a local constraint. This enables more precise extraction of entanglement entropy from well-measured data, significantly reducing uncertainties in particle physics analysis.
Original Abstract
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.
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