Naturally realized two dark Z's near the electroweak scale

Abstract

Chiral representations are the key in obtaining light fermions from some ultra-violet completed theories. The well-known chiral example is one family set of fifteen chiral fields in the standard model. We find a new chiral theory SU(2)${}_{\mathrm{dark}}\times$U(1)${}_Q$ with sixteen chiral fields, which does not have any gauge and gravitational anomalies. The group SU(2)${}_{\mathrm{dark}}\times$U(1)${}_Q$ may belong to the dark sector, and we present a derivation of the spectrum from the E${}_8\times$E${}_8^{\prime }$ hetrotic string. Necessarily, there appear two degrees at low energy: two dark Z's, or a dark Z plus a dark-photon. Being chiral, there is a chance to probe this theory at TeV accelerators. Since the model belongs to the dark sector, the way to probe it is through the kinetic mixing.

13 pages with 1 figure

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