Appears in collection : Balzan Conference on Open Issues in Gravitation

Tidal Love numbers quantify the deformability of compact objects under external tidal fields. They are key quantities in gravitational‑wave astronomy for accurately modeling waveforms during the final stage of an inspiral and carry information about the microphysics of the object. I will present a framework for computing tidal Love numbers beyond linear order by matching relativistic perturbation theory of compact objects with the worldline effective field theory approach used to define their tidal deformability.