Probing proton fluctuations with asymmetric rapidity correlations

Intrinsic fluctuations of the proton saturation momentum generate asymmetric rapidity distributions on an event-by-event basis. We argue that the asymmetric component, $\left<a_1^2\right>$, of the orthogonal polynomial decomposition of the two-particle rapidity correlation function is a sensitive probe to this distribution of fluctuations. We present a simple model connecting the experimentally measured $\left<a_1^2\right>$ to the variance, $σ$, of the distribution of the logarithm of the proton saturation scale. We find that $σ\approx 0. 5-1$ describes the asymmetric component of the rapidity correlations recently measured by the ATLAS collaboration.

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