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Quark see-saw, Higgs mass and vacuum stability

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Abstract

The issue of vacuum stability of standard model (SM) is discussed by embedding it within the TeV scale left–right quark see-saw model. The Higgs potential in this case has only two coupling parameters (λ 1, λ 2) and two mass parameters. There are only two physical neutral Higgs bosons (h,H), the lighter one being identified with the 126 GeV Higgs boson. We explore the range of values for (λ 1, λ 2) for which the vacuum is stable for all values of the Higgs fields till 1016 GeV. Combining with the further requirement that the scalar self-couplings remain perturbative till 1016 GeV, we find (i) an upper and lower limit on the second Higgs (H) mass to be within the range: 0.4 ≤ (M H /v R ) ≤ 0.7, where v R is the parity breaking scale and (ii) the masses of heavy vector-like top, bottom and τ partner fermions (P 3, N 3,E 3) have an upper bound ≤ v R . These predictions can be tested at LHC and future higher energy colliders.

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Acknowledgement

The work of RNM is supported by the National Science Foundation Grant No. PHY-1315155. The work of YZ is supported in part by the National Natural Science Foundation of China (NSFC) under Grant No. 11105004.

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Authors and Affiliations

  1. Maryland Center for Fundamental Physics and Department of Physics, University of Maryland, College Park, Maryland, 20742, USA

    R N MOHAPATRA

  2. State Key Laboratory of Theoretical Physics and Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    YONGCHAO ZHANGI

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  1. R N MOHAPATRA
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  2. YONGCHAO ZHANGI
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Correspondence to R N MOHAPATRA.

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MOHAPATRA, R.N., ZHANGI, Y. Quark see-saw, Higgs mass and vacuum stability. Pramana - J Phys 86, 265–280 (2016). https://doi.org/10.1007/s12043-015-1147-9

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