Abstract
We study the phenomenological consequences of the supersymmetric (SUSY) E7/SU(5) × U(1)3 non-linear sigma model coupled to supergravity, where the three gen- erations of quark and lepton chiral multiplets appear as (pseudo) Nambu Goldstone (NG) multiplets, that is, the origin of the three families is explained. To break SUSY, we intro- duce a SUSY breaking field charged under some symmetry avoiding the Polonyi problem. The gaugino mass spectrum is almost uniquely determined when one requires the electroweak vacuum to be (meta)stable: it would be a miracle that the mass difference between the bino and wino turns out to be within \( \mathcal{O} \)(1)% at the low energy. Thus, a bino-wino coannihilation is naturally predicted, which can explain the correct relic abundance of dark matter. Moreover, we find that the bottom-tau Yukawa couplings and the gauge couplings are unified up to \( \mathcal{O} \)(1)% in most of the viable region. This scenario can be fully tested at the LHC and future collider experiments since the gauginos and some of the pseudo-NG bosons are light. An axion-like multiplet, which can be identified with the QCD axion, is also predicted.
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Yanagida, T.T., Yin, W. & Yokozaki, N. Bino-wino coannihilation as a prediction in the E7 unification of families. J. High Energ. Phys. 2019, 169 (2019). https://doi.org/10.1007/JHEP12(2019)169
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DOI: https://doi.org/10.1007/JHEP12(2019)169