Vacuum stability, perturbativity, and scalar singlet dark matter

2009/10/31 by Matthew Gonderinger, Yingchuan Li, Hiren Patel +1 · 227 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark matter #Higgs boson #Parameter space #Particle physics theoretical and experimental studies #Quartic function #Scalar (mathematics) #Singlet state #Standard Model (mathematical formulation) #Upper and lower bounds #hep-ph

paper · pdf · doi:10.1007/jhep01(2010)053

published in Journal of High Energy Physics 2010(1) (Springer Nature) · 25 pages, 10 figures; v2 - fixed minor typos; v3 - added to text discussions of other references, changed coloring of figures for easier black and white viewing

openalex publication_date 2010/01/01 · arxiv created 2010/01/18 · arxiv updated 2010/02/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyze the one-loop vacuum stability and perturbativity bounds on a singlet extension of the Standard Model (SM) scalar sector containing a scalar dark matter candidate. We show that the presence of the singlet-doublet quartic interaction relaxes the vacuum stability lower bound on the SM Higgs mass as a function of the cutoff and lowers the corresponding upper bound based on perturbativity considerations. We also find that vacuum stability requirements may place a lower bound on the singlet dark matter mass for given singlet quartic self coupling, leading to restrictions on the parameter space consistent with the observed relic density. We argue that discovery of a light singlet scalar dark matter particle could provide indirect information on the singlet quartic self-coupling.

Citations

• Review of Particle Physics
• On the metastability of the Standard Model vacuum

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