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We discuss the non-thermal phase structure of a chirally invariant Higgs–Yukawa model on the lattice in the presence of a higher dimensional Φ6 -term. For the exploration of the phase diagram we use analytical, lattice perturbative calculations of the constraint effective potential as well as numerical simulations. We also present first results of the effects of the Φ6 -term on the lower Higgs boson mass bounds
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