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 Z2 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.