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Vacuum stability, perturbativity, and scalar singlet dark matter

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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.

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Authors and Affiliations

  1. Department of Physics, University of Wisconsin-Madison, Madison, WI, 53706, U.S.A.

    Matthew Gonderinger, Yingchuan Li, Hiren Patel & Michael J. Ramsey-Musolf

  2. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, CA, 91125, U.S.A.

    Michael J. Ramsey-Musolf

Authors
  1. Matthew Gonderinger
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  2. Yingchuan Li
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  3. Hiren Patel
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  4. Michael J. Ramsey-Musolf
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Correspondence to Matthew Gonderinger.

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ArXiv ePrint: 0910.3167

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Gonderinger, M., Li, Y., Patel, H. et al. Vacuum stability, perturbativity, and scalar singlet dark matter. J. High Energ. Phys. 2010, 53 (2010). https://doi.org/10.1007/JHEP01(2010)053

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  • DOI: https://doi.org/10.1007/JHEP01(2010)053

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