Vacuum stability of conformally invariant scalar dark matter models

Yeong Gyun Kim, Kang Young Lee, Jungil Lee, Soo Hyeon Nam

Research output: Contribution to journalArticlepeer-review


We discuss vacuum structure and vacuum stability in classically scale-invariant renormalizable models with a scalar dark matter multiplet of global O(N) symmetry together with an electroweak singlet scalar mediator. Our conformally invariant scalar potential generates the electroweak symmetry breaking via the Coleman-Weinberg mechanism, and the new scalar singlet mediator acquires its mass through radiative corrections of the scalar dark matters as well as of the standard model particles. Taking into account the present collider bounds, we find the region of parameter space where the scalar potential is stable and all the massless couplings are perturbative up to the Planck scale. With the obtained parameter sets satisfying the vacuum stability condition, we present the allowed region of new physics parameters satisfying the recent measurement of relic abundance and predict the elastic scattering cross section of the new scalar multiplet into target nuclei for a direct detection of the dark matter. We also discuss the collider signatures and future discovery potentials of the new scalars.

Original languageEnglish
Article number095004
JournalPhysical Review D
Issue number9
Publication statusPublished - 2022 Nov 1

Bibliographical note

Funding Information:
This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education under the Grants No. NRF-2020R1I1A1A01072816 (S.-h. N.) and No. NRF-2021R1F1A1061717 (Y. G. K.) and also funded by the Ministry of Science and ICT under the Grants No. NRF-2020R1A2C3009918 (S.-h. N. and J. L.) and No. NRF-2021R1A2C2011003 (K. Y. L.).

Publisher Copyright:
© 2022

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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