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Testing the Nambu-Goldstone hypothesis for quarks and leptons at the LHC. (English) Zbl 1214.81336
Summary: The hierarchy of the Yukawa couplings is an outstanding problem of the standard model. We present a class of models in which the first and second generation fermions are SUSY partners of pseudo-Nambu-Goldstone bosons that parameterize a non-compact Kähler manifold, explaining the small values of these fermion masses relative to those of the third generation. We also provide an example of such a model. We find that various regions of the parameter space in this scenario can give the correct dark matter abundance, and that nearly all of these regions evade other phenomenological constraints. We show that for \(m_{\tilde{g}} \sim 700\) GeV, model points from these regions can be easily distinguished from other mSUGRA points at the LHC with only \(7 fb^{ - 1}\) of integrated luminosity at 14 TeV. The most striking signatures are a dearth of \(b\)- and \(\tau \)-jets, a great number of multi-lepton events, and either an “inverted” slepton mass hierarchy, narrowed slepton mass hierarchy, or characteristic small-\(\mu \) spectrum.
MSC:
81V22 Unified quantum theories
81T60 Supersymmetric field theories in quantum mechanics
81V17 Gravitational interaction in quantum theory
83E50 Supergravity
32Q15 Kähler manifolds
83E15 Kaluza-Klein and other higher-dimensional theories
83F05 Relativistic cosmology
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