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Metastability bounds on the two Higgs doublet model

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Abstract

In the two Higgs doublet model, there is the possibility that the vacuum where the universe resides in is metastable. We present the tree-level bounds on the scalar potential parameters which have to be obeyed to prevent that situation. Analytical expressions for those bounds are shown for the most used potential, that with a softly broken Z 2 symmetry. The impact of those bounds on the model’s phenomenology is discussed in detail, as well as the importance of the current LHC results in determining whether the vacuum we live in is or is not stable. We demonstrate how the vacuum stability bounds can be obtained for the most generic CP-conserving potential, and provide a simple method to implement them.

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Authors and Affiliations

  1. Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal

    A. Barroso, P. M. Ferreira & Rui Santos

  2. Instituto Superior de Engenharia de Lisboa - ISEL, 1959-007, Lisboa, Portugal

    P. M. Ferreira & Rui Santos

  3. IFPA, Université de Liège, Allée du 6 Août 17, bâtiment B5a, 4000, Liège, Belgium

    I. P. Ivanov

  4. Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk, Russia

    I. P. Ivanov

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  1. A. Barroso
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  2. P. M. Ferreira
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  4. Rui Santos
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Correspondence to Rui Santos.

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ArXiv ePrint: 1303.5098

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Barroso, A., Ferreira, P.M., Ivanov, I.P. et al. Metastability bounds on the two Higgs doublet model. J. High Energ. Phys. 2013, 45 (2013). https://doi.org/10.1007/JHEP06(2013)045

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