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Bounds on Higgs and top quark masses from vacuum stability (degeneracy) with gravitational contributions

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Abstract

Based on the two-loop RGE of standard model gauge, top-Yukawa as well as scalar quartic couplings with full one-loop gravitational contributions in harmonic gauge, we study the constraints on the Higgs and top quark mass from the requirement that the other degenerate vacua at the Planck-dominated region exists. Our numerical calculations show that nature will not develop the other degenerate vacua at the Planck-dominated region with current Higgs and top quark masses. On the other hand, requiring the existence of the other degenerate vacua at the Planck-dominated region will constrain the Higgs and top mass to lie at approximately 130 and 174 GeV, respectively.

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Authors and Affiliations

  1. School of Physics, Zhengzhou University, Zhengzhou, 450001, China

    Zhuang Li, Guo-Li Liu, Fei Wang & Lin Wang

  2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics China, Chinese Academy of Sciences, Beijing, 100190, China

    Guo-Li Liu & Fei Wang

Authors
  1. Zhuang Li
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  2. Guo-Li Liu
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  3. Fei Wang
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  4. Lin Wang
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Correspondence to Fei Wang.

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Li, Z., Liu, GL., Wang, F. et al. Bounds on Higgs and top quark masses from vacuum stability (degeneracy) with gravitational contributions. Sci. China Phys. Mech. Astron. 61, 91011 (2018). https://doi.org/10.1007/s11433-017-9179-1

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  • DOI: https://doi.org/10.1007/s11433-017-9179-1

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