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We propose a general procedure for the detector-response correction (including efficiency correction) of higher order cumulants observed by the event-by-event analysis in heavy-ion collisions. This method makes use of the moments of the…

Data Analysis, Statistics and Probability · Physics 2018-10-17 Toshihiro Nonaka , Masakiyo Kitazawa , ShinIchi Esumi

Short-range correlations between charged particles are studied via two-particle angular correlations in pp collisions at ${\sqrt{{\textit s}}}=13$~TeV. The correlation functions are measured as a function of the relative azimuthal angle…

Nuclear Experiment · Physics 2025-06-03 ALICE Collaboration

The effect of limiting the acceptance in rapidity on event-by-event multiplicity fluctuations in nucleus-nucleus collisions has been investigated. Our analysis shows that the multiplicity fluctuations decrease when the rapidity acceptance…

Nuclear Experiment · Physics 2009-11-07 D. P. Mahapatra , B. Mohanty , S. C. Phatak

Two-particle rapidity (or pseudorapidity) correlation function $C(y_1, y_2)$ was used in analysing fluctuation of particle density distribution in rapidity in high-energy heavy-ion collisions. In our research, we argue that for a centrality…

Nuclear Theory · Physics 2017-05-22 Ronghua He , Jing Qian , Lei Huo

The convergence and optimality of adaptive mixed finite element methods for the Poisson equation are established in this paper. The main difficulty for mixed finite element methods is the lack of minimization principle and thus the failure…

Numerical Analysis · Mathematics 2010-01-12 Long Chen , Michael Holst , Jinchao Xu

Multi-particle correlation techniques are frequently used to study jet shapes and yields in hadronic and nuclear collisions. To date, a standard assumption applied in such analyses is that the observed correlations arise from either jets…

Nuclear Experiment · Physics 2010-04-06 Anne Sickles , Michael P. McCumber , Andrew Adare

We propose a novel method for sorting events of multiparticle production according to the azimuthal anisotropy of their momentum distribution. Although the method is quite general, we advocate its use in analysis of ultra-relativistic…

Nuclear Theory · Physics 2016-05-25 Renata Kopecna , Boris Tomasik

In heavy-ion ({\it A-A}) collisions, the correlations among the particles produced across wide range in rapidity, probe the early stages of the reaction. The analyses of forward-backward multiplicity correlations in these collisions are…

Nuclear Experiment · Physics 2015-06-17 Sudipan De , T. Tarnowsky , T. K. Nayak , R. P. Scharenberg , B. K. Srivastava

An "event-shape twist" technique is proposed to study the longitudinal dynamics of harmonic flow, in particular the effects of rapidity fluctuation and event-plane decorrelation. This technique can distinguish between two types of rapidity…

Nuclear Theory · Physics 2014-09-17 Jiangyong Jia , Peng Huo

Two-particle number and transverse momentum correlations are powerful tools for studying the medium produced in heavy-ion collisions. Correlations in the angular separation of pairs of hadrons can provide information on the medium transport…

High Energy Physics - Experiment · Physics 2019-02-20 Monika Varga-Kofarago

In two-particle angular correlation measurements the distribution of charged hadron pairs are evaluated as a function of pseudorapidity ($\Delta \eta$) and azimuthal ($\Delta \varphi$) differences. In these correlations, jets manifest…

High Energy Physics - Phenomenology · Physics 2019-04-02 Balázs Endre Szigeti , Monika Varga-Kofarago

We show that the method of partial covariance is a very efficient way to introduce constraints (such as the centrality selection) in data analysis in ultra-relativistic nuclear collisions. The technique eliminates spurious event-by-event…

Nuclear Theory · Physics 2018-10-18 Wojciech Broniowski , Adam Olszewski

Azimuthal angle two particle correlations have been shown to be a powerful probe for extracting novel features of the interaction between hard scattered partons and the medium produced in Au+Au collisions at RHIC. At intermediate $p_T$,…

Nuclear Experiment · Physics 2019-08-14 Anne Sickles

Jets observed in hadron-hadron scattering contain a contribution from the underlying event that is produced by spectator interactions taking place incoherently with the major parton-parton collision, due to the extended composite structure…

High Energy Physics - Phenomenology · Physics 2016-08-25 Jon Pumplin

Measurements of two particle azimuthal correlations in relativistic heavy ion collisions are useful tools to dissect the interplay between hard-scattered partons and hot dense medium. Correlations with trigger particle selection relative to…

Nuclear Experiment · Physics 2019-08-21 Takahito Todoroki

Two-particle, pair-number correlation distributions on two-dimensional transverse momentum ($p_{t1},p_{t2}$) constructed from the particle production in relativistic heavy-ion collisions allow access to dynamical processes in these systems…

Nuclear Experiment · Physics 2019-02-27 R. L. Ray , A. Jentsch

The rigorous convergence analysis of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in strain-limiting elastic solids is presented. This work introduces two novel adaptive mesh refinement…

Numerical Analysis · Mathematics 2025-11-19 Ram Manohar , S. M. Mallikarjunaiah

In this note we discuss subtleties associated with the efficiency corrections for measurements of off-diagonal cumulants and factorial moments for a situation when one deals with overlapping sets of particles, such as correlations between…

Nuclear Theory · Physics 2021-03-18 Volodymyr Vovchenko , Volker Koch

We performed systematic studies on the effects of event-by-event efficiency fluctuations on efficiency correction for cumulant analysis in relativistic heavy-ion collision experiments. Experimentally, particle efficiencies of events…

Data Analysis, Statistics and Probability · Physics 2018-09-11 Shu He , Xiaofeng Luo