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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…

High Energy Physics - Phenomenology · Physics 2026-05-26 Mustapha Ouchen , Alex Prygarin

The normalised order-q moments of primarily charged-particle multiplicity distributions are studied for KNO scaling investigation in pp collisions as deduced from the results of the ATLAS at the LHC. The normalised moments for the LHC and…

High Energy Physics - Experiment · Physics 2023-10-03 Yuri A. Kulchitsky , Pavel Tsiareshka

The comparisons of the charged-particle multiplicity and the average transverse momentum distributions on the scaled multiplicity, KNO scale, using the results of the ATLAS collaboration at the LHC are presented. These distributions were…

High Energy Physics - Experiment · Physics 2022-06-08 Yuri Kulchitsky , Pavel Tsiareshka

The Koba-Nielsen-Olesen (KNO) scaling of hadron multiplicity distributions, empirically confirmed to hold approximately in $e^+e^-$ collisions and Deep Inelastic Scattering, has been observed to be violated in hadron-hadron collisions. In…

High Energy Physics - Phenomenology · Physics 2025-11-20 Xiang-Pan Duan , Lin Chen , Guo-Liang Ma , Carlos A. Salgado , Bin Wu

Transverse momentum integrated multiplicities in the central region of pp collisions at LHC energies satisfy Koba-Nielsen-Olesen scaling. We attempt to relate this finding to multiplicity distributions of soft gluons. KNO scaling emerges if…

High Energy Physics - Phenomenology · Physics 2012-09-20 Adrian Dumitru , Elena Petreska

KNO scaling, i.e. the collapse of multiplicity distributions P_n onto a universal scaling curve manifests when P_n is expressed as the distribution of the standardized multiplicity (n-c)/lambda with c and lambda being location and scale…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sandor Hegyi

Using Mueller's dipole formalism for deep inelastic scattering in QCD, we formulate and solve the evolution for the generating function for the multiplicities of the produced particles, in hadronic processes at high energy. The solution for…

High Energy Physics - Phenomenology · Physics 2023-02-06 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

We propose scaling theories for Kosterlitz-Thouless (KT) phase transitions on the basis of the hallmark exponential growth of their correlation length. Finite-size scaling, finite-entanglement scaling, short-time critical dynamics, and…

Statistical Mechanics · Physics 2022-01-05 Zhiyao Zuo , Shuai Yin , Xuanmin Cao , Fan Zhong

In this paper we study ATLAS results on underlying event in pp collisions at $\sqrt{s}$=0.9, 7 and 13 TeV. We show that the center-of-mass energy dependences of the charged-particle production sensitive to the underlying event ("transverse"…

High Energy Physics - Experiment · Physics 2017-12-27 Antonio Ortiz , Lizardo Valencia Palomo

Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang (KPZ) scaling in late-time correlators and autocorrelators of certain interacting many-body systems has been reported. Inspired by these results, we explore the KPZ scaling in…

High Energy Physics - Theory · Physics 2024-06-06 Alexander Gorsky , Sergei Nechaev , Alexander Valov

The charged particles multiplicity distribution in the KNO form is discussed in processes of $e^+e^-$ annihilation at energies $\sqrt{s}$ 14 -- 206.2 GeV. The experimental data are compared to data, obtained with Monte Carlo simulation in…

High Energy Physics - Phenomenology · Physics 2007-06-25 V. A. Abramovsky , N. V. Radchenko

We investigate the scaling properties of the order parameter and the largest nonvanishing Lyapunov exponent for the fully locked state in the Kuramoto model with a finite number $N$ of oscillators. We show that, for any finite value of $N$,…

Adaptation and Self-Organizing Systems · Physics 2017-04-28 Tommaso Coletta , Robin Delabays , Philippe Jacquod

We study the multiplicity distributions of events with hard jets in proton-proton collisions at LHC energies using PYTHIA 8 Monte-Carlo simulations. We demonstrate that the charged-hadron multiplicity distributions scale with jet momentum.…

High Energy Physics - Phenomenology · Physics 2024-09-18 Robert Vertesi , Antal Gemes , Gergely Gabor Barnafoldi

We have investigated scaling properties near the quantum critical point between the extended phase and the critical phase in the Aubry-Andr\'{e}-Harper model with p-wave pairing, which have rarely been exploited as most investigations focus…

Disordered Systems and Neural Networks · Physics 2022-10-19 Ting Lv , Yu-Bin Liu , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You

Multiplicity fluctuations at midrapidity in p+p collisions at high energies are described by a negative binomial distribution and exhibit approximate Koba-Nielsen-Olesen (KNO) scaling. We find that these KNO fluctuations are important also…

Nuclear Theory · Physics 2012-04-23 Adrian Dumitru , Yasushi Nara

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

We evaluate the Koba-Nielsen-Olesen (KNO) scaling functions for quark- and gluon-initiated jets by incorporating energy conservation into the Double Logarithmic Approximation (DLA). The resulting modified DLA (MDLA) expressions differ…

High Energy Physics - Phenomenology · Physics 2026-02-25 Xiang-Pan Duan , Lin Chen , Guo-Liang Ma , Carlos A. Salgado , Bin Wu

Using the negative binomial distribution (NBD) and the generalized Glauber-Lachs (GGL) formula, we analyze the data on charged multiplicity distributions with pseudo-rapidity cutoffs \eta_c at 0.9, 2.36, and 7 TeV by ALICE Collaboration and…

High Energy Physics - Phenomenology · Physics 2010-12-15 Takuya Mizoguchi , Minoru Biyajima

We analyze Mueller's QCD dipole wave function evolution in the double logarithm approximation (DLA). Using complex analytical methods, we show that the distribution of dipole in the wave function (gluon multiplicity distribution)…

High Energy Physics - Phenomenology · Physics 2023-07-06 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

Multiplicity distributions and their scaling behaviour for various types of secondary charged particles produced in 28Si-nucleus collisions at 4.5A and 14.5A GeV are investigated. The validity of KNO scaling and its generalized form has…

High Energy Physics - Experiment · Physics 2021-01-12 N. Ahmad
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