Regular Article - Theoretical Physics
Inflation, SUSY breaking, and primordial black holes in modified supergravity coupled to chiral matter
Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, 10330, Pathumwan, Bangkok, Thailand
2 Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, 050040, Almaty, Kazakhstan
3 Center for Theoretical Physics, College of Physics, Science and Technology, Sichuan University, 610065, Chengdu, China
4 Laboratori Nazionali di Frascati (INFN), Via Enrico Fermi 54, 00044, Frascati Rome, Italy
5 Department of Physics, Tokyo Metropolitan University, 1-1 Minami-ohsawa, 192-0397, Hachioji-shi, Tokyo, Japan
6 Research School of High-Energy Physics, Tomsk Polytechnic University, 2a Lenin Avenue, 634028, Tomsk, Russian Federation
7 Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, 277-8583, Kashiwa, Japan
Accepted: 27 July 2022
Published online: 5 August 2022
We propose a novel model of the modified (Starobinsky-like) old-minimal-type supergravity coupled to a chiral matter superfield, that can 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 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 GeV. Our supergravity model favors the 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.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.