Internal Cumulants for Femtoscopy with Fixed Charged Multiplicity

Internal Cumulants for Femtoscopy with Fixed Charged Multiplicity

Blog Article

A detailed understanding of all effects and influences on higher-order correlations is essential.At low charged multiplicity, the effect of a non-Poissonian multiplicity distribution can Door Decor significantly distort correlations.Evidently, the reference samples with respect to which correlations are measured should yield a null result in the absence of correlations.

We show how the careful specification of desired properties necessarily leads to an average-of-multinomials reference sample.The resulting internal cumulants and their averaging over several multiplicities fulfill all requirements of correctly taking into account non-Poissonian multiplicity distributions as well as yielding a null result for uncorrelated fixed-N samples.Various correction factors are shown to be approximations at best.

Careful rederivation of statistical variances and covariances within the frequentist approach yields errors for cumulants that differ from those used so far.We finally briefly discuss the implementation of the analysis through American Fridge Freezers a multiple event buffer algorithm.