Split two-Higgs-doublet model and neutrino condensation

We split the two-Higgs-doublet model by assuming very different vevs for the two doublets: the vev is at weak scale (174 GeV) for the doublet Φ 1 and at neutrino-mass scale (10 −2 − 10 −3 eV) for the doublet Φ 2 . Φ 1 is responsible for giving masses to all fermions except neutrinos; while Φ 2 is responsible for giving neutrino masses through its tiny vev without introducing the see-saw mechanism. Among the predicted five physical scalars H , h , A 0 and H ± , the CP-even scalar h is as light as 10 −2 − 10 −3 eV while the others are at weak scale. We identify h as the cosmic-dark-energy field and the other CP-even scalar H as the Standard Model Higgs boson; while the CP-odd A 0 and the charged H ± are the exotic scalars to be discovered at future colliders. Also we demonstrate a possible dynamical origin for the doublet Φ 2 from neutrino condensation caused by some unknown dynamics.