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Principal component analysis of the nonlinear coupling of harmonic modes in heavy-ion collisions
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abstract
The principal component analysis of flow correlations in heavy-ion collisions is studied. The correlation matrix of harmonic flow is generalized to correlations involving several different flow vectors. The method can be applied to study the nonlinear coupling between different harmonic modes in a double differential way in transverse momentum or pseudorapidity. The procedure is illustrated with results from the hydrodynamic model applied to Pb+Pb collisions at $\sqrt{s}=2760$GeV. Three examples of generalized correlations matrices in transverse momentum are constructed corresponding to the coupling of $v_2^2$ and $v_4$, of $v_2v_3$ and $v_5$, or of $v_2^3$, $v_3^3$, and $v_6$. The principal component decomposition is applied to the correlation matrices and the dominant modes are calculated.
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An MLE analysis on the relationship between the initial-state granularity and final-state flow factorization
Flow factorization, but not differential flow, responds strongly to initial-state granularity in peripheral-tube hydrodynamic simulations, and MLE and cumulant estimators disagree on these correlators.
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