Browsing by Author "Grzadkowski, B."
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- New symmetries of the two-Higgs-doublet modelPublication . Ferreira, Pedro Miguel; Grzadkowski, B.; Ogreid, O. M.; Osland, P.The Two Higgs Doublet Model invariant under the gauge group \(SU(2)\times U(1)\) is known to have six additional global discrete or continuous symmetries of its scalar sector. We have discovered regions of parameter space of the model which are basis and renormalization group invariant to all orders of perturbation theory in the scalar and gauge sectors, but correspond to none of the hitherto considered symmetries. We therefore identify seven new symmetries of the model and discuss their phenomenology. Soft symmetry breaking is required for some of these models so that electroweak symmetry breaking can occur. We show that, at least at the two-loop level, it is possible to extend some of these symmetries to include fermions.
- Symmetries of the 2HDM: an invariant formulation and consequencesPublication . Ferreira, Pedro Miguel; Grzadkowski, B.; Ogreid, Odd Magne; Osland, P.Symmetries of the Two-Higgs-Doublet Model (2HDM) potential that can be extended to the whole Lagrangian, i.e. the CP-symmetries CP1, CP2, CP3 and the Higgs-family symmetries Z(2), U(1) and SO(3) are discussed. Sufficient and necessary conditions in terms of constraints on masses and physical couplings for the potential to respect each of these symmetries are found. Each symmetry can be realized through several alternative cases, each case being a set of relations among physical parameters. We will show that some of those relations are invariant under the renormalization group, but others are not. The cases corresponding to each symmetry group are illustrated by analyzing the interplay between the potential and the vacuum expectation values.