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arXiv · 2206.02601

Inflation, SUSY breaking, and primordial black holes in modified supergravity coupled to chiral matter

Yermek Aldabergenov·Andrea Addazi·Sergei V. Ketov
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Abstract

We propose a novel model of the modified (Starobinsky-like) old-minimal-type supergravity coupled to a chiral matter superfield, that can {\it simultaneously} describe multi-field inflation, primordial black hole (PBH) formation, dark matter (DM), and spontaneous supersymmetry (SUSY) breaking after inflation in a Minkowski vacuum. The PBH masses in our supergravity model of double slow-roll inflation, with a short phase of "ultra-slow-roll" between two slow-roll phases, are close to $10^{18}$ g. We find that a significant PBH fraction in the allowed mass window can be supplemented by spontaneous SUSY breaking in the vacuum with the gravitino mass close to the scalaron (inflaton) mass M of the order $10^{13}$ GeV. Our supergravity model favors the {\it composite} nature of DM as a mixture of PBH and heavy gravitinos as the lightest SUSY particles. The composite DM significantly relaxes fine-tuning needed for the whole PBH-DM. The PBH-DM fraction is derived, and the second-order gravitational wave background induced by the enhanced scalar perturbations is calculated. Those gravitational waves may be accessible by the future space-based gravitational interferometers.

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Yermek Aldabergenov, Andrea Addazi, Sergei V. Ketov. 2022-06-06. Inflation, SUSY breaking, and primordial black holes in modified supergravity coupled to chiral matter. https://doi.org/10.1140/epjc/s10052-022-10654-w

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