Abstract
The U(1)_D gauge sector containing one dark Higgs boson h_D and one dark photon \gamma_D may be explored through the decays of the 126 GeV particle discovered at the Large Hadron Collider (LHC), assumed here as the heavier mass eigenstate h_1 in the mixing of the standard model h with h_D. The various decays of h_1 to \gamma_D \gamma_D, h_2 h_2, h_2 \gamma_D \gamma_D and h_2 h_2 h_2 would yield multilepton final states through the mixing of \gamma_D with the photon and the decay h_2 \to \gamma_D \gamma_D, where h_2 is the lighter dark Higgs. Future searches for signals of multilepton jets at the LHC may reveal the existence of this possible dark sector governed simply by the original Abelian Higgs model.
Highlights
Bμν CμνWhere W μ, Bμ and Cμ are the gauge potentials of the SU(2)L, U(1)Y and U(1)D with gauge couplings g, g and gD respectively, and is the kinetic mixing parameter between the two U(1)s [7, 8]
The global fits [15,16,17,18] for the signal strengths of the various SM Higgs decay channels from the Large Hadron Collider (LHC) data imply the total width of the SM Higgs is about 4.03 MeV and the non-standard width for the SM Higgs can be at most 1.2 MeV; in other words the nonstandard branching ratio for the SM Higgs must be less than 22%
We have studied a simple extension of the SM by adding a dark sector described by the original Abelian Higgs model
Summary
Where W μ, Bμ and Cμ are the gauge potentials of the SU(2)L, U(1)Y and U(1)D with gauge couplings g, g and gD respectively, and is the kinetic mixing parameter between the two U(1)s [7, 8]. The scalar potential in (2.3) is given by Vscalar = −μ2ΦΦ†Φ + λΦ Φ†Φ 2 − μ2χχ∗χ + λχ (χ∗χ)2 + λΦχ Φ†Φ (χ∗χ). In terms of the shifted fields h and hD, the scalar potential Vscalar can be decomposed as Vscalar = V0 + V1 + V2 + V3 + V4. V0 is a cosmological constant and will be discarded on; the tadpole term V1 vanishes with v and vD given by eq (2.8); V2 is quadratic in the fields h and hD, and we have to diagonalize the mass matrix MS2 in eq (2.11) to get the physical Higgs fields h1 and h2 (see section); and V3 and V4 are the trilinear and quadrilinear self couplings among the two Higgs fields.
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