Understanding Mu Pileup Profile in Analysis Papers

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A simple question, what kind (of important) information can someone extract by reading the pileup profile (average mu) of the data in an analysis paper?
 
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It should not be important for the result. Pileup collisions are background, if the experiments did their analysis properly the result does not depend on background.

Within the analysis it is important for various things, dependent on what the analysis is about. All efficiencies, fake rates, many background components and so on are pileup-dependent.