Vanishing Higgs Quadratic Divergence in the Scotogenic Model and Beyond

It is shown that the inherent quadratic divergence of the Higgs mass renormalization of the standard model may be avoided in the well-studied scotogenic model of radiative neutrino mass as well as other analogous extensions.Comment: 6 pages, 2 figure

Radiative Origin of All Quark and Lepton Masses through Dark Matter with Flavor Symmetry

The fundamental issue of the origin of mass for all quarks and leptons (including Majorana neutrinos) is linked to dark matter, odd under an exactly conserved Z(2) symmetry which may or may not be derivable from an U(1) gauge symmetry. The observable sector interacts with a proposed dark sector which consists of heavy neutral singlet Dirac fermions and suitably chosen new scalars. Flavor symmetry is implemented in a renormalizable context with just the one Higgs doublet of the standard model in such a way that all observed fermions obtain their masses radiatively through dark matter.Comment: 12 pages, 4 figures, version to appear in PR

Radiative Scaling Neutrino Mass and Warm Dark Matter

A new and radical scenario of the simple 2006 model of radiative neutrino mass is proposed, where there is no seesaw mechanism, i.e. neutrino masses are not inversely proportional to some large mass scale, contrary to the prevalent theoretical thinking. The neutral singlet fermions in the loop have masses of order 10 keV, the lightest of which is absolutely stable and the others are very long-lived. All are components of warm dark matter, which is a possible new paradigm for explaining the structure of the Universe at all scales.Comment: 10 pages, 2 figure

Inception of Self-Interacting Dark Matter with Dark Charge Conjugation Symmetry

A new understanding of the stability of self-interacting dark matter is pointed out, based on the simplest spontaneously broken Abelian $U(1)$ gauge model with one complex scalar and one Dirac fermion. The key is the imposition of dark charge conjugation symmetry. It allows the possible existence of two stable particles: the Dirac fermion and the vector gauge boson which acts as a light mediator for the former's self-interaction. Since this light mediator does not decay, it avoids the strong cosmological constraints recently obtained for all such models where the light mediator decays into standard-model particles.Comment: 9 pages, no figure, title modified, references adde

Soft A4→Z3A_4 \to Z_3 Symmetry Breaking and Cobimaximal Neutrino Mixing

I propose a model of radiative charged-lepton and neutrino masses with $A_4$ symmetry. The soft breaking of $A_4$ to $Z_3$ lepton triality is accomplished by dimension-three terms. The breaking of $Z_3$ by dimension-two terms allow cobimaximal neutrino mixing $(\theta_{13} \neq 0, \theta_{23} = \pi/4, \delta_{CP} = \pm \pi/2)$ to be realized with only very small finite calculable deviations from the residual lepton triality. This construction solves a long-standing technical problem inherent in renormalizable $A_4$ models since their inception.Comment: 8 pages, 4 figure