Abstract
We investigate the correlation between a possible deviation in the discovered Higgs boson h(125) couplings from the Standard Model prediction and the mass scale (M2nd) of the next-to-lightest Higgs boson in models with non-minimal Higgs sectors. In particular, we comprehensively study a class of next-to-minimal Higgs sectors which satisfy the electroweak ρ parameter to be one at tree level. We derive an upper limit on M2nd by imposing bounds from perturbative unitarity, vacuum stability, triviality and electroweak precision data as functions of the deviation in the hV V (V = W, Z) couplings. Furthermore, we discuss the complementarity between these bounds and the current LHC data, e.g., by considering direct searches for additional Higgs bosons and indirect constraints arising from the measured h(125) signal strengths.
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