G2HDM : Gauged Two Higgs Doublet Model

Abstract

A novel model embedding the two Higgs doublets in the popular two Higgs doublet models into a doublet of a non-abelian gauge group $SU(2{)}_H$ is presented. The Standard Model $SU(2{)}_L$ right-handed fermion singlets are paired up with new heavy fermions to form $SU(2{)}_H$ doublets, while $SU(2{)}_L$ left-handed fermion doublets are singlets under $SU(2{)}_H$. Distinctive features of this anomaly-free model are: (1) Electroweak symmetry breaking is induced from spontaneous symmetry breaking of $SU(2{)}_H$ via its triplet vacuum expectation value; (2) One of the Higgs doublet can be inert, with its neutral component being a dark matter candidate as protected by the $SU(2{)}_H$ gauge symmetry instead of a discrete $Z_2$ symmetry in the usual case; (3) Unlike Left-Right Symmetric Models, the complex gauge fields $(W_1^{\prime }\mp i{W}_2^{\prime })$ (along with other complex scalar fields) associated with the $SU(2{)}_H$ do {\it not} carry electric charges, while the third component $W_3^{\prime }$ can mix with the hypercharge $U(1{)}_Y$ gauge field and the third component of $SU(2{)}_L$; (4) Absence of tree level flavour changing neutral current is guaranteed by gauge symmetry; and {\it etc}. In this work, we concentrate on the mass spectra of scalar and gauge bosons in the model. Constraints from previous $Z^{\prime }$ data at LEP and the Large Hadron Collider measurements of the Standard Model Higgs mass, its partial widths of $\gamma \gamma$ and $Z\gamma$ modes are discussed.

40 pages, 7 figures, version accepted in JHEP, relic density discussion added

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Cited by in corpus (13)

• Multi-Component Dark Matter in a Non-Abelian Dark Sector
• Neutrino Masses in a Two Higgs Doublet Model with a U(1) Gauge Symmetry
• Consistency of a gauged two-Higgs-doublet model: Scalar sector
• Collider Bounds on 2-Higgs Doublet Models with $U(1{)}_X$ Gauge Symmetries
• Consistency of Gauged Two Higgs Doublet Model: Gauge Sector
• Type I + II Seesaw in a Two Higgs Doublet Model
• Multi-Higgs models with CP symmetries of increasingly high order
• Complementary Searches of Low Mass Non-Abelian Vector Dark Matter, Dark Photon and Dark $Z^{\prime }$
• Complex Scalar Dark Matter in G2HDM
• Recent developments of the Lauricella string scattering amplitudes and their exact SL(K+3,C) Symmetry
• t-channel dark matter at the LHC -- a whitepaper
• A fermionic portal to a non-abelian dark sector
• New Contributions to $b\to s\gamma$ in Minimal G2HDM