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Principal Component Analysis of Event-by-Event Fluctuations

2015; American Physical Society; Volume: 114; Issue: 15 Linguagem: Inglês

10.1103/physrevlett.114.152301

1092-0145

Rajeev S. Bhalerao, Jean-Yves Ollitrault, Subrata Pal, Derek Teaney,

Particle physics theoretical and experimental studies

We apply principal component analysis to the study of event-by-event fluctuations in relativistic heavy-ion collisions. This method brings out all the information contained in two-particle correlations in a physically transparent way. We present a guide to the method, and apply it to multiplicity fluctuations and anisotropic flow, using ALICE data and simulated events. In particular, we study elliptic and triangular flow fluctuations as a function of transverse momentum and rapidity. This method reveals previously unknown subleading modes in both rapidity and transverse momentum for the momentum distribution as well as elliptic and triangular flows.