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Table D.1.

Primary physical assumption varied for each BNS population synthesis models from Iorio et al. (2023).

Model Physics Varied Description & Impact on Rates
F Fiducial The baseline model using standard assumptions for stellar winds and mass transfer, using a mass-dependent supernova kick model that allows for relatively high survival rates (Giacobbo & Mapelli 2020).
Supernova Natal Kicks
K265 High Kicks Neutron stars receive strong birth kicks (Maxwellian σ = 265 km/s). Significantly reduces the merger rate (by factor ∼4 vs F) as binaries are disrupted.
K150 Low Kicks Neutron stars receive weaker birth kicks (σ = 150 km/s), increasing the rate compared to K265, but still yields fewer mergers than F.
Mass Transfer Stability
QCBSE Standard Stability Uses restrictive criteria to decide if mass transfer is stable. Drastically suppresses the BNS rate (by ∼7) as giant donors undergo unstable transfer and merge prematurely.
QCBB Alternative Stability Assumes mass transfer from pure-Helium stars is always stable. This avoids for some stars a final, often fatal CE phase where they would otherwise merge prematurely, allowing more systems to survive and eventually merge as BNSs.
RBSE Accretion Efficiency Assumes the companion star accretes matter less efficiently during mass transfer, giving a moderate reduction in merger rates compared to F.
Common Envelope Physics
LK, LC, LK High Binding Energy LK and LC assume tightly bound envelopes. This suppresses BNS formation as binaries fail to eject the envelope and merge as stars. Similarly, LX uses the binding energy prescriptions from Xu & Li (2010) which also reduces merger rates.
OPT Optimistic CE Allows Hertzsprung gap donors to survive a CE phase. While it allows survival where standard models fail, this model is built upon the restrictive QCBSE physics.
Other Assumptions
F19 Pair Instability Uses Pair Instability prescriptions from Farmer et al. (2019). This mainly affects the black hole mass spectrum and has negligible impact on BNS merger rates.
F5M Sampling Check A high-resolution run of F. Used to verify that merger rates are not artefacts of statistical sampling noise.
SND Supernova Engine Uses a delayed supernova mechanism. This yield comparable total rates to F but alters the mass distribution of the compact objects by allowing some progenitors to not directly collapse into a black-hole.
QHE Homogeneous Evolution Allows rapidly rotating stars to mix chemically. Total merger rates are similar to F, though formation channels differ as these stars do not form Red Giants and remain compact.
NT No Tides Disables tidal forces. This results in a minor reduction in merger rates compared to F.
NTC Circularization Allows binaries to merger sooner during Roche-lobe overflow. Increases the merger rate (∼2) by preventing collisions in eccentric orbits.

Notes. All models listed above are combined with four variations of the CE efficiency parameter, αCE ∈ {0.5, 1.0, 3.0, 5.0}, resulting in the 64 total populations analysed in this work.

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