A note on the quality of dilatonic ultralight dark matter

Jay Hubisz, Shaked Ironi, Gilad Perez, Rogerio Rosenfeld

Research output: Contribution to journalArticlepeer-review

Abstract

Dilatons are pseudo-Nambu-Goldstone bosons arising from the breaking of conformal invariance. In this letter we point out that in general a dilaton mass has a power-law dependence on a small parameter related to the explicit breaking of conformal invariance whereas the ratio between the ultraviolet and infrared scales in the theory is exponentially related to the same parameter. We show that this scaling results in a separation between the dilaton mass and the infrared scale that can not be arbitrary large. Therefore a small dilaton mass necessarily is associated to a secluded conformal sector. We argue that the fact that the dilaton field must have a small displacement from the minimum of its effective potential generated near the infrared scale precludes a cosmologically interesting amount of dilatonic dark matter to be produced by a misalignment mechanism in the early Universe.

Original languageEnglish
Article number138583
JournalPhysics Letters B
Volume851
Early online date15 Mar 2024
DOIs
Publication statusPublished - Apr 2024

Bibliographical note

The authors are grateful to D.E. Kaplan for many discussions and contributions when the core of the work related to this work was made. The authors also thank A. Banerjee for discussions during the initial phase of the paper, and comments on the manuscript, and we thank Z. Komargodski and R. Rattazzi for discussions. The work of JH is supported in part by U.S. Department of Energy (DOE), Office of Science, Office of High Energy Physics, under Award Number DE-SC0009998. The work of GP is supported by grants from BSF-NSF, Friedrich Wilhelm Bessel research award of the Alexander von Humboldt Foundation, GIF, ISF, Minerva, SABRA - Yeda-Sela - WRC Program, the Estate of Emile Mimran, and the Maurice and Vivienne Wohl Endowment. The work of RR is supported in part by the São Paulo Research Foundation (FAPESP) through grant # 2021/10290-2 and by the Brazilian Agency CNPq through a productivity grant # 311627/2021-8. RR thanks the hospitality of the Department of Particle Physics and Astrophysics at the Weizmann Institute of Science, where this work was initiated with the support of an Erna and Jakob Michael Visiting Professorship.

Publisher Copyright:
© 2024 The Author(s)

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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