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We propose a new way of analyzing, and analytically representing, theringdown part of the gravitational wave signal emitted by coalescing black holebinaries.By contrast with the usual {\it linear} decomposition of themultipolar complex waveform $h(t)$ in a sum of quasi-normal modes, ourprocedure relies on a {\it multiplicative} decomposition of $h(t)$ as theproduct of the fundamental quasi-normal mode with a remaining time-dependentcomplex factor whose amplitude and phase are separately fitted. As anillustrative example, we apply our analysis and fitting procedure to theringdown part of a sample of sixteen $\ell=m=2$ equal-mass, spinning,nonprecessing, numerical waveforms computed with the SP$_{\rm E}$C code,nowpublicly available in the SXS catalogue. Our approach yields an efficient andaccurate way to represent the ringdown waveform, thereby offering a new way tocomplete the analytical effective-one-body inspiral-plus-plunge waveform.

A new analytic representation of the ringdown waveform of coalescing spinning black hole binaries