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With the increasing sensitivity of gravitational-wave detectors, we expect toobserve multiple binary neutron-star systems through gravitational waves in thenear future. The combined analysis of these gravitational-wave signals offersthe possibility to constrain the neutron-star radius and the equation of stateof dense nuclear matter with unprecedented accuracy. However, it is crucial toensure that uncertainties inherent in the gravitational-wave models will notlead to systematic biases when information from multiple detections arecombined. To quantify waveform systematics, we perform an extensive simulationcampaign of binary neutron-star sources and analyse them with a set of fourdifferent waveform models. Based on our analysis with about 38 simulations, wefind that statistical uncertainties in the neutron-star radius decrease to $\pm250\rm m$ ($2\%$ at $90\%$ credible interval) but that systematic differencesbetween currently employed waveform models can be twice as large. Hence, itwill be essential to ensure that systematic biases will not become dominant ininferences of the neutron-star equation of state when capitalizing on futuredevelopments.

Quantifying modeling uncertainties when combining multiple gravitational-wave detections from binary neutron star sources