Radiative Interactions between New Non-Abelian Gauge Sector and the Standard Model

Abstract

We discuss one loop generation of the term connecting gauge fields from a local hidden $SU(2{)}_H$ and the standard model $U(1{)}_Y$ introducing an $SU(2{)}_H$ doublet fermion with non-zero hypercharge and a scalar field in adjoint representation. Then we obtain a kinetic mixing term between $SU(2{)}_H$ and $U(1{)}_Y$ gauge fields after the adjoint scalar field developing vacuum expectation value. We illustrate such a concrete scenario introducing a dark matter model in an ultraviolet (UV) completion with local $SU(2{)}_H$ symmetry where the scalar doublet is our dark matter candidate and its stability is guaranteed by remnant $Z_2$ symmetry from $SU(2{)}_H$. Relic density of dark matter is calculated focusing on the case in which dark matter annihilate into known particles via $SU(2{)}_H$ gauge interactions with radiatively induced kinetic mixing.

11 pages, 2 figures

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Cited by in corpus (1)

• A Radiative Neutrino Mass Model in Dark Non-Abelian Gauge Symmetry