Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.
Vacuum Stability and Perturbativity of SU(3) Scalars
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We calculate the vacuum stability conditions and renormalisation group equations for the extensions of standard model with a higher colour multiplet scalar up to the representation $\mathbf{15'}$ that leaves the strong interaction asymptotically free. In order to find the vacuum stability conditions, we calculate the orbit spaces for the self-couplings of the higher multiplets, which for the representations $\mathbf{15}$ and $\mathbf{15'}$ of $SU(3)_c$ are highly complicated. However, if the scalar potential is linear in orbit space variables, it is sufficient to know the convex hull of the orbit space. In contrast to the self-couplings of other multiplets, we find that the scalar quartic couplings of the representations $\mathbf{3}$ and $\mathbf{8}$ walk rather than run, remaining nearly constant and perturbative over a vast energy range. We describe the conditions for walking couplings using a schematic model. With these technical results at hand we revise earlier results of generation of new scales with large $SU(3)_c$ scalar multiplets. Our results are easily extendable to models of new physics with additional $SU(3)$ or SU($N$) gauge symmetries.
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hep-ph 3representative citing papers
The authors derive exact analytical boundaries for the phase spaces of gauge-invariant terms in the scalar potentials of two SU(2) quadruplet extensions of the Standard Model and provide efficient line-scanning procedures for necessary and sufficient bounded-from-below conditions.
The paper conjectures and numerically verifies necessary and sufficient conditions for boundedness from below of the scalar potential in a Δ(54)-symmetric three-Higgs-doublet model using orbit space geometry.
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Hierarchies from Higher Flavor Spin
Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.
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On the addition of an $SU(2)$ quadruplet of scalars to the Standard Model
The authors derive exact analytical boundaries for the phase spaces of gauge-invariant terms in the scalar potentials of two SU(2) quadruplet extensions of the Standard Model and provide efficient line-scanning procedures for necessary and sufficient bounded-from-below conditions.
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Conditions for boundedness from below of a $\Delta(54)$-symmetric three-Higgs-doublet model
The paper conjectures and numerically verifies necessary and sufficient conditions for boundedness from below of the scalar potential in a Δ(54)-symmetric three-Higgs-doublet model using orbit space geometry.