Understanding experimentally-observed fluctuations

TL;DR

This paper examines how experimental factors like thermal blurring and detector efficiency impact the measurement of fluctuation observables in relativistic heavy-ion collisions, providing correction formulas for higher order cumulants.

Contribution

It introduces effective correction formulas for higher order cumulants accounting for thermal blurring and detector inefficiencies in fluctuation measurements.

Findings

Derived correction formulas for higher order cumulants

Analyzed the impact of thermal blurring on fluctuation measurements

Assessed the effect of detector inefficiency on cumulant measurements

Abstract

We discuss two topics on the experimental measurements of fluctuation observables in relativistic heavy-ion collisions. First, we discuss the effects of the thermal blurring, i.e. the blurring effect arising from the experimental measurement of fluctuations in momentum space as a proxy of the thermal fluctuations defined in coordinate space, on higher order cumulants. Second, we discuss the effect of imperfect efficiency of detectors on the measurement of higher order cumulants. We derive effective formulas which can carry out the correction of this effect for higher order cumulants based on the binomial model.