Assessing the tension between a black hole dominated early universe and leptogenesis

Abstract

We perform the first numerical calculation of the interplay between thermal and black hole induced leptogenesis, demonstrating that the right-handed neutrino surplus produced during the evaporation only partially mitigates the entropy dilution suffered by the thermal component. As such, the intermediate-mass regime of the right-handed neutrinos, $10^6\mathrm{GeV}\lesssim M_N\lesssim 10^9\mathrm{GeV}$, could not explain the observed baryon asymmetry even for fine-tuned scenarios if there existed a primordial black hole dominated era, consistent with initial black hole masses of $M_i\gtrsim \mathcal{O}\left(1\right)$ kg. Detection of the gravitational waves emitted from the same primordial black holes would place intermediate-scale thermal leptogenesis under tension.

Comments: 7+3 pages, 6 figures; one figure, comments, and references added, Boltzmann equations improved, main conclusion unchanged