Xiaofeng Luo, Ji Xu, Bedangadas Mohanty, Nu Xu
Moments (Variance ($\sigma^2$), Skewness($S$), Kurtosis($\kappa$)) of multiplicity distributions of conserved quantities, such as net-baryon,net-charge and net-strangeness, are predicted to be sensitive to the correlation length of the system and connected to the thermodynamic susceptibilities computed in Lattice QCD and Hadron Resonance Gas (HRG) model. In this paper, we point out several measurement artifacts like centrality bin width effect, auto-correlation and centrality resolution effect in the moment analysis of net-proton multiplicity distributions in high energy heavy-ion collisions using the UrQMD model. We present methods to overcome these artifacts so that the extracted moments could be used to obtain physical conclusions. In addition we present methods to properly estimate the statistical errors in moment analysis.
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http://arxiv.org/abs/1302.2332
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