https://doi.org/10.1140/epjc/s10052-022-10440-8
Regular Article - Theoretical Physics
Gravitational waves in models with multicritical-point principle
1
Department of Physics, Harvard University, 02138, Cambridge, MA, USA
2
Department of Physics and Center for Theoretical Physics, National Taiwan University, 106, Taipei, Taiwan
3
Physics Division, National Center for Theoretical Sciences, 10617, Taipei, Taiwan
4
Center for Theoretical Physics, Department of Physics and Astronomy, Seoul National University, 08826, Seoul, Korea
5
Department of Mathematics, Tokyo Woman’s Christian University, 167-8585, Tokyo, Japan
6
Department of Physics, Osaka University, 560-0043, Toyonaka, Osaka, Japan
Received:
29
March
2022
Accepted:
15
May
2022
Published online:
25
May
2022
The multicritical-point principle (MPP) provides a natural explanation of the large hierarchy between the Planck and electroweak scales. We consider a scenario in which MPP is applied to the Standard Model extended by two real singlet scalar fields 
and S, and a dimensional transmutation occurs by the vacuum expectation value of . In this paper, we focus on the critical points that possess a 
symmetry 
and all the other fields are left invariant. Then S becomes a natural dark matter (DM) candidate. Further, we concentrate on the critical points where does not possess further symmetry so that there is no cosmological domain-wall problem. Among such critical points, we focus on maximally critical one called CP-1234 that fix all the superrenormalizable parameters. We show that there remains a parameter region that satisfies the DM relic abundance, DM direct-detection bound and the current LHC constraints. In this region, we find a first-order phase transition in the early universe around the TeV-scale temperature. The resultant gravitational waves are predicted with a peak amplitude of 
at a frequency of 
Hz, which can be tested with future space-based instruments such as DECIGO and BBO.
© The Author(s) 2022
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