Effect of non-uniform efficiency on higher-order cumulants in heavy-ion collisions

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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 reproduced by the efficiency correction with an average of the realistic detector efficiency for particles with the same charges within each single phase space.The theoretical conclusions are supported by a toy model simulation by tuning the non-uniformity of the efficiency employed in the track-by-track efficiency correc-tion method.The valid averaged efficiency is found to suppress the statistical uncertainties of the reproduced cumu-lants dramatically.Thus,usage of the averaged efficiency requires a careful study of phase space dependence.This study is important for carrying out precision measurements of higher-order cumulants in heavy-ion collision experi-ments at present and in future.
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