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We perform a sequence of binary black hole simulations with increasinglysmall mass ratios, reaching to a 128:1 binary that displays 13 orbits beforemerger. Based on a detailed convergence study of the $q=m_1/m_2=1/15$nonspinning case, we apply additional mesh refinements levels around thesmaller hole horizon to reach successively the $q=1/32$, $q=1/64$, and$q=1/128$ cases. Roughly a linear computational resources scaling with $1/q$ isobserved on 8-nodes simulations. We compute the remnant properties of themerger: final mass, spin, and recoil velocity, finding precise consistencybetween horizon and radiation measures. We also compute the gravitationalwaveforms: its peak frequency, amplitude, and luminosity. We compare thosevalues with predictions of the corresponding phenomenological formulas,reproducing the particle limit within 2%, and we then use the new results toimprove their fitting coefficients.

Exploring the small mass ratio binary black hole merger via Zeno's dichotomy approach