Theorem on vacuum stability
arXiv:2411.19063
Abstract
We consider an extension of the Standard Model with one or more scalar multiplets beyond the Higgs doublet . The additional scalar multiplets are supposed to carry arbitrary hypercharges. We prove that, in such a model, if the field configuration where only 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 field configuration where both and other scalar multiplets have nonzero VEVs.
14 pages; v2: added footnote 2, references, and appendix A; v3: changed title