Abstract
We propose a scenario of dark sector described by a hidden SU(2) gauge symmetry which is broken by a vacuum expectation value(VEV) of a scalar multiplet. We discuss a general mass relation among SU(2) gauge bosons after spontaneous symmetry breaking which is determined by weight of gauge group representation associated with a scalar multiplet developing VEV. Then a model with quintet and triplet scalar fields is discussed in which hidden gauge boson can be dark matter(DM) stabilized by remnant discrete Z2 symmetry and resonant dark matter annihilation is realized by mass relation between DM and mediator. We estimate relic density and spin independent DM-nucleon scattering cross section searching for allowed parameter region.
Highlights
We propose a scenario of dark sector described by a hidden SU(2) gauge symmetry which is broken by a vacuum expectation value(VEV) of a scalar multiplet
We discuss a general mass relation among SU(2) gauge bosons after spontaneous symmetry breaking which is determined by weight of gauge group representation associated with a scalar multiplet developing VEV
We show general mass relation among SU(2) gauge bosons after spontaneous symmetry breaking which is determined by weight of gauge group representation associated with a scalar multiplet developing VEV
Summary
We discuss SU(2) gauge symmetry which is spontaneously broken by a VEV of a scalar field, and show relation among massive gauge boson masses after symmetry breaking in general way. Let us start from the definition of a scalar field Φ belonging to SU(2) multiplet whose components are described by , m, where numbers and m respectively correspond to the highest weight and weight (eigenvalue of diagonal generator T3). Upper indices coincide with electric charge since it is defined by Q = T3 + Y and Y = ; each of the charges is 1 and 0 As another example, let us consider the Higgs triplet with = 1 and Y = 1, which is often used to explain the active Majorana neutrino mass matrix via type-II seesaw mechanism.
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