On the addition of an quadruplet of scalars to the Standard Model
Darius Jurčiukonis🇱🇹 · Luís Lavoura🇵🇹
We consider the extension of the Standard electroweak Model through an quadruplet of scalars with hypercharge either or (with an additional reflection symmetry in the latter case). We establish, through , the boundaries of the phase spaces of the gauge-invariant terms that appear in the (renormalizable) scalar potentials. We devise procedures for the determination of necessary and sufficient bounded-from-below conditions on those potentials; we emphasize that one mostly needs to scan the scalar potential over a few , instead of , in order to establish the boundedness-from-below; this fact allows one devoted to that establishment.