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Theorem on vacuum stability

André Milagre* and Luís Lavoura†

  • *Contact author: andre.milagre@tecnico.ulisboa.pt
  • †Contact author: balio@cftp.tecnico.ulisboa.pt
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Phys. Rev. D 112, 016008 – Published 7 July, 2025

DOI: https://doi.org/10.1103/kzm7-h6n5

Abstract

We consider an extension of the Standard Model with one or more scalar multiplets beyond the Higgs doublet Φ. The additional scalar multiplets are supposed to carry arbitrary hypercharges (the precise conditions on the scalar potential are less stringent). We prove that, in such a model, if the field configuration where only Φ has a nonzero vacuum expectation value (VEV) is a local minimum of the potential, then it has a lower value of the potential than any extremum where both Φ and other scalar multiplets have nonzero VEVs.

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Phys. Rev. D 112, 016008– Published 7 July, 2025
  • Received 12 March 2025
  • Accepted 17 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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