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Past studies have empirically demonstrated a surprising agreement betweengravitational waveforms computed using adiabatic-driven-inspiral point-particleblack hole perturbation theory (ppBHPT) and numerical relativity (NR) followinga straightforward calibration step, sometimes referred to as $\alpha$-$\beta$scaling. Specifically focusing on the quadrupole mode, this calibrationtechnique necessitates only two time-independent parameters to scale theoverall amplitude and time coordinate. In this article, part of a specialissue, we investigate this scaling for non-spinning binaries at the equal masslimit. Even without calibration, NR and ppBHPT waveforms exhibit an unexpecteddegree of similarity after accounting for different mass scale definitions.Post-calibration, good agreement between ppBHPT and NR waveforms extends nearlyup to the point of the merger. We also assess the breakdown of thetime-independent assumption of the scaling parameters, shedding light oncurrent limitations and suggesting potential generalizations for the$\alpha$-$\beta$ scaling technique.

Comparing numerical relativity and perturbation theory waveforms for a non-spinning equal-mass binary