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- W3207024651 abstract "Vacuum stability requires that the scalar potential is bounded from below. Whether or not this is true depends on the scalar quartic interactions alone, but even so the analysis is arduous and has only been carried out for a limited set of models. Complementing the existing literature, this work contains the necessary and sufficient conditions for two SU(n) invariant potentials to be bounded from below. In particular, expressions are given for models with the fundamental and the 2-index (anti)symmetric representations of this group. A sufficient condition for vacuum stability is also provided for models with the fundamental and the adjoint representations. Finally, some considerations are made concerning the model with the gauge group SU(2) and the scalar representations $boldsymbol{1}$, $boldsymbol{2}$ and $boldsymbol{3}$; such a setup is particularly important for neutrino mass generation and lepton number violation." @default.
- W3207024651 created "2021-10-25" @default.
- W3207024651 creator A5005746331 @default.
- W3207024651 date "2022-04-14" @default.
- W3207024651 modified "2023-10-14" @default.
- W3207024651 title "Boundedness from below of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math> potentials" @default.
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- W3207024651 doi "https://doi.org/10.1103/physrevd.105.075014" @default.
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