https://doi.org/10.1140/epjc/s10052-026-15298-8
Regular Article - Theoretical Physics
Primordial black holes within Higgs hybrid metric-Palatini approach
1
Laboratory of Physics of Matter and Radiation, University of Mohammed First, BP 717, Oujda, Morocco
2
Faculty of Sciences, Astrophysical and Cosmological Center, BP 717, Oujda, Morocco
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
20
October
2025
Accepted:
4
January
2026
Published online:
21
January
2026
Abstract
In this paper, we investigate the production of primordial black holes (PBHs) during the radiation-dominated era. The collapse of significant density perturbations originating from large primordial scalar fluctuations generated during inflation can lead to the formation of primordial black holes. In our study, we adopt the Higgs hybrid metric-Palatini model as our framework, in which the inflaton field and the Palatini curvature are non-minimally coupled. To achieve our objective, we analyze the behavior of the primordial curvature power spectrum, which exhibits a large enhancement at small scales corresponding to large wavenumbers k. Furthermore, we examine the probability of PBHs formation by studying the mass variance, 
, and the mass fraction of the total energy density collapsing into PBHs, 
. The evolution of both functions is consistent with current observational constraints. Finally, we investigate the abundance of primordial black holes as a dark matter candidate. We found that they can account for the totality or a fraction of the current dark matter content, depending primarily on the values of the coupling constant and the e-folds number.
© The Author(s) 2026
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.
