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We perform a systematic study on the effect of non-uniform track efficiency correction in higher-order cumulant analysis in heavy-ion collisions. Through analytical derivation, we find that the true values of cumulants can be successfully…

Data Analysis, Statistics and Probability · Physics 2021-12-22 Fan Si , Yifei Zhang , Xiaofeng Luo

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

Higher-order cumulants of conserved charge distributions are sensitive observables to probe the critical fluctuations near QCD critical point in heavy-ion collisions. Due to high interaction rate, pileup event can be one of the major…

Data Analysis, Statistics and Probability · Physics 2022-01-11 Yu Zhang , Yige Huang , Toshihiro Nonaka , Xiaofeng Luo

We propose a simplified procedure for the experimental application of the efficiency correction on higher order cumulants in heavy-ion collisions. By using the track-by-track efficiency, we can eliminate possible bias arising from the…

Data Analysis, Statistics and Probability · Physics 2019-04-30 Xiaofeng Luo , Toshihiro Nonaka

Multiplicity correlation measurements provide insight into the dynamics of high energy collisions. Models describing these collisions need these correlation measurements to tune the strengths of the underlying QCD processes which influence…

Nuclear Experiment · Physics 2016-04-27 K. Gulbrandsen , C. Soegaard

We provide a unified description of efficiency correction and error estimation for moments of conserved quantifies in heavy-ion collisions. Moments and cumulants are expressed in terms of the factorial moments, which can be easily corrected…

Data Analysis, Statistics and Probability · Physics 2017-10-18 Xiaofeng Luo

We derive the general analytical expressions for the statistical uncertainties of cumulants up to fourth order including an efficiency correction. The analytical expressions have been tested with a toy Monte Carlo model analysis. An…

Nuclear Theory · Physics 2022-03-25 Fan Si , Yifei Zhang

We derive formulas which connect cumulants of particle numbers observed with efficiency losses with the original ones based on the binomial model. These formulas can describe the case with multiple efficiencies in a compact form. Compared…

Nuclear Theory · Physics 2016-04-27 Masakiyo Kitazawa

The cumulants of thermal variables are of general interest in physics due to their extensivity and their correspondence with susceptibilities. They become especially significant near critical points of phase transitions where they diverge…

Nuclear Theory · Physics 2015-09-07 Evan Sangaline

We propose a novel centrality definition-independent method for analyzing higher-order cumulants, specifically addressing the challenge of volume fluctuations that dominate in low-energy heavy-ion collisions. This method reconstructs…

Data Analysis, Statistics and Probability · Physics 2025-11-11 Zhaohui Wang , Xiaofeng Luo

Local density fluctuations near the QCD critical point has been suggested to exhibit a power-law behavior which can be probed by an intermittency analysis on scaled factorial moment (SFM) in relativistic heavy-ion collisions. The collision…

Nuclear Theory · Physics 2021-09-23 Jin Wu , Yufu Lin , Zhiming Li , Xiaofeng Luo , Yuanfang Wu

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

High moments of conserved quantities such as net-baryon, net-electric charge, and net-strangeness in heavy-ion collisions are sensitive to fluctuations caused by the QCD critical point (CP). The event-by-event analysis of high moments of…

Nuclear Experiment · Physics 2025-11-06 Xin Zhang , Yu Zhang , Xiaofeng Luo , Nu Xu

Fluctuations and correlations of conserved quantities (baryon number, strangeness, and charge) can be used to probe phases of strongly interacting QCD matter and the possible existence of a critical point in the phase diagram. The cumulants…

Nuclear Experiment · Physics 2018-08-14 Roli Esha

It is shown that intermittency, a self-similar correlation with respect to the size of the phase space volume, is sensitive to critical density fluctuations of baryon numbers in a system belonging to the three-dimensional (3D) Ising…

Nuclear Theory · Physics 2020-01-06 Jin Wu , Yufu Lin , Yuanfang Wu , Zhiming Li

Local density fluctuations near the QCD critical point can be probed by an intermittency analysis of power-law behavior on scaled factorial moments in relativistic heavy-ion collisions. We study the second-order scaled factorial moment in…

Nuclear Theory · Physics 2022-08-12 Zhiming Li , Jin Wu

Cumulants of baryon number are given considerable attention in analyses of heavy-ion collision experiments as possible signatures of the QCD critical point. In this work, we show that the values of the lowest three cumulants can also be…

Nuclear Theory · Physics 2021-10-25 Agnieszka Sorensen , Dmytro Oliinychenko , Volker Koch , Larry McLerran

We derive formulas for the efficiency correction of cumulants with many efficiency bins. The derivation of the formulas is simpler than the previously suggested method, but the numerical cost is drastically reduced from the naive method.…

Data Analysis, Statistics and Probability · Physics 2017-07-05 Toshihiro Nonaka , Masakiyo Kitazawa , ShinIchi Esumi

Statistical moments of particle multiplicities in heavy-ion collision experiments are an important probe in the exploration of the phase diagram of strongly interacting matter and, particularly, in the search for the QCD critical end point.…

High Energy Physics - Phenomenology · Physics 2017-09-01 Maurício Hippert , Eduardo S. Fraga
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