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Transverse momentum spectra of identified particles produced in heavy-ioncollisions at the Large Hadron Collider are described with relativistic fluiddynamics. We perform a systematic comparison of experimental data for pions,kaons and protons up to a transverse momentum of 3 GeV$/c$ with calculationsusing the FluiduM code package to solve the evolution equations of fluiddynamics, the TrENTo model to describe the initial state and the FastReso codeto take resonance decays into account. Using data in five centrality classes atthe center-of-mass collision energy per nucleon pair$\sqrt{s_\text{NN}}=2.76\,\text{TeV}$, we determine systematically the mostlikely parameters of our theoretical model including the shear and bulkviscosity to entropy ratios, the initialization time, initial density andfreeze-out temperature through a global search and quantify their posteriorprobability. This is facilitated by the very efficient numerical implementationof FluiduM and FastReso. Based on the most likely model parameters we presentpredictions for the transverse momentum spectra of multi-strange hadrons aswell as identified particle spectra from Pb-Pb collisions at$\sqrt{s_\text{NN}}=5.02\,\text{TeV}$.

Global fluid fits to identified particle transverse momentum spectra from heavy-ion collisions at the Large Hadron Collider