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On the addition of an SU(2) quadruplet of scalars to the Standard Model
by Darius Jurčiukonis, Luís Lavoura
Submission summary
| Authors (as registered SciPost users): | Darius Jurčiukonis |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2507.17870v3 (pdf) |
| Code repository: | https://github.com/jurciukonis/SM-quadruplet |
| Date submitted: | Jan. 21, 2026, 12:07 p.m. |
| Submitted by: | Darius Jurčiukonis |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational, Phenomenological |
Abstract
We consider the extension of the Standard electroweak Model through an SU(2) quadruplet of scalars with hypercharge either 3/2 or 1/2 (with an additional reflection symmetry in the latter case). We establish, through exact analytical equations, 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 lines, instead of surfaces, in order to establish the boundedness-from-below; this fact allows one to reduce by three orders of magnitude the computational time devoted to that establishment.
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