Abstract
Simple symmetry arguments applied to the third generation lead to a prediction: there exist new sequential Higgs doublets with masses of order $\lesssim 5 $ TeV, with approximately universal Higgs-Yukawa coupling constants, $g\sim 1$. This is calibrated by the known Higgs boson mass, the top quark Higgs-Yukawa coupling, and the $b$-quark mass. A new massive weak-isodoublet, $H_b$, coupled to the $b$-quark with $g\sim 1$ is predicted, and may be accessible to the LHC at $13$ TeV, and definitively at the energy upgraded LHC of $26$ TeV. The extension to leptons generates a new $H_\tau$ and a possible $H_{\nu_\tau}$ doublet. The accessibility of the latter depends upon whether the mass of the $\tau$-neutrino is Dirac or Majorana.
Highlights
Understanding flavor physics will likely involve the discovery of new particles, associated with the mystery of the origin of the small parameters of the Standard Model
Such new physics may be accessible to the LHC or its energy doubled upgrade
There are, many other theoretical ways to achieve this, but we are motivated by the hypothesis that a single lone Higgs boson is unlikely to exist—there may be a rich spectrum of Higgs bosons, presenting a new spectroscopy in nature
Summary
Understanding flavor physics will likely involve the discovery of new particles, associated with the mystery of the origin of the small parameters of the Standard Model. The symmetry breaking in the d 1⁄4 2 Higgs mass terms preserves the universality of quark Higgs-Yukawa couplings g We remark that these explicit d 1⁄4 2 symmetry-breaking mass terms could arise from d 1⁄4 4 scale invariant interactions involving additional new fields and G could be broken spontaneously. We are interested presently in the simplest phenomenological scheme and will be content to insert the d 1⁄4 2 symmetry breaking mass terms by hand This simple ðt; bÞ quark scenario with G is predictive, because of the universal coupling. If we postulate that the input Higgs mass is small, M2H ≪ M2b, we immediately obtain Mb ≃ 5.5 TeV This result is modified when we extend the theory to include the third generation leptons ðντ; τÞ. In view of the simplicity and natural symmetry basis of these results we will focus on the third generation subsystem in some detail
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