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We determine the likelihood distribution for the model parameters describingthe event-by-event fluctuating proton geometry at small $x$ by performing aBayesian analysis within the Color Glass Condensate framework. The exclusive$\mathrm{J}/\psi$ production data from HERA is found to constrain the modelparameters well, and we demonstrate that complementary constraints can beobtained from simulations of Pb+Pb collisions at the LHC.

Bayesian inference of the fluctuating proton shape in DIS and hadronic collisions