Abstract
The singlet majoron model of seesaw neutrino mass is appended by one dark Majorana fermion singlet $\chi$ with $L=2$ and one dark complex scalar singlet $\zeta$ with $L=1$. This simple setup allows $\chi$ to obtain a small radiative mass anchored by the same heavy right-handed neutrinos, whereas the one-loop decay of the standard-model Higgs boson to $\chi \chi + \bar{\chi} \bar{\chi}$ provides the freeze-in mechanism for $\chi$ to be the light dark matter of the Universe.
Highlights
Neutrino mass [1] and dark matter [2] are two outstanding issues in particle physics and astrophysics
The standard model (SM) is extended first by three singlet right-handed neutrinos NR with lepton number L 1⁄4 1 as well as one complex scalar η with L 1⁄4 2, so that the term ηÃNRNR appears in the Lagrangian, which is assumed invariant under Uð1ÞL
The χLNRζ term is similar to the one found in the prototype renormalizable model [9] of fermionic dark matter χL supplemented by a real scalar counterpart S, i.e., χLNRS
Summary
Neutrino mass [1] and dark matter [2] are two outstanding issues in particle physics and astrophysics. Returning to the canonical choice of L 1⁄4 1 for NR, if a new complex neutral scalar singlet η with L 1⁄4 2 is added, the term ηÃNRNR is allowed, and the Lagrangian with this term replacing the NRNR term is invariant under the global symmetry Uð1ÞL This conscious choice of a new particle with a nonzero lepton number was first made 40 years ago [8], where η is assumed to have a nonzero vacuum expectation value, thereby breaking Uð1ÞL spontaneously again to ð−1ÞL and with the appearance of a massless Goldstone boson called the singlet Majoron. It is shown that χL obtains a small radiative mass anchored by NR, and it becomes dark matter through the freeze-in mechanism from Higgs decay
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