English

Axion Misalignment Driven to the Hilltop

High Energy Physics - Phenomenology 2019-06-26 v2 Cosmology and Nongalactic Astrophysics

Abstract

The QCD axion serves as a well-motivated dark matter candidate and the misalignment mechanism is known to reproduce the observed abundance with a decay constant faO(1012)f_a \simeq \mathcal{O}(10^{12}) GeV for a misalignment angle θmisO(1)\theta_{\rm mis} \simeq \mathcal{O}(1). While fa1012f_a \ll 10^{12} GeV is of great experimental interest, the misalignment mechanism requires the axion to be very close to the hilltop, i.e. θmisπ\theta_{\rm mis} \simeq \pi. This particular choice of θmis\theta_{\rm mis} has been understood as fine-tuning the initial condition. We offer a dynamical explanation for θmisπ\theta_{\rm mis} \simeq \pi in a class of models. The axion dynamically relaxes to the minimum of the potential by virtue of an enhanced mass in the early universe. This minimum is subsequently converted to a hilltop because the CP phase of the theory shifts by π\pi when one contribution becomes subdominant to another with an opposite sign. We demonstrate explicit and viable examples in supersymmetric models where the higher dimensional Higgs coupling with the inflaton naturally achieves both criteria. Associated phenomenology includes a strikingly sharp prediction of 3×1093 \times 10^9 GeV fa1010\lesssim f_a \lesssim 10^{10} GeV and the absence of isocurvature perturbation.

Keywords

Cite

@article{arxiv.1812.11192,
  title  = {Axion Misalignment Driven to the Hilltop},
  author = {Raymond T. Co and Eric Gonzalez and Keisuke Harigaya},
  journal= {arXiv preprint arXiv:1812.11192},
  year   = {2019}
}

Comments

25 pages, 3 figures; v2: discussions and references added, matches journal version

R2 v1 2026-06-23T06:58:23.113Z