Generalized one-loop neutrino mass model with charged particles

We propose a radiative neutrino-mass model by introducing 3 generations of fermion pairs $E^{-(N+1)/2}{E}^{+(N+1)/2}$ and a couple of multicharged bosonic doublet fields ${\mathrm{\Phi }}_{N/2},{\mathrm{\Phi }}_{N/2+1}$, where $N=1$, 3, 5, 7, 9. We show that the models can satisfy the neutrino masses and oscillation data, and are consistent with lepton-flavor violations, the muon anomalous magnetic moment, the oblique parameters, and the beta function of the $U(1{)}_Y$ hypercharge gauge coupling. We also discuss the collider signals for various $N$, namely, multicharged leptons in the final state from the Drell-Yan production of $E^{-(N+1)/2}{E}^{+(N+1)/2}$. In general, the larger the $N$ the more charged leptons will appear in the final state.

Figure 1

One-loop diagrams for generating the neutrino mass matrix.

Figure 2

Feynman diagrams for $Z\to {\ell }_i{\overline{\ell }}_j$, where upper diagrams represent the contributions for $f$, while the down ones for $g$.

Figure 3

The running of $g_Y$ in terms of a reference energy of $\mu$, depending on each of $N=1$, 3, 5, 7, 9, 11.

Figure 4

$N=1$ case: Scatter plots between a pair of observables or parameters of the model, where $0.11\le \mathrm{\Omega }{h}^2\le 0.13$ is satisfied.

Figure 5

$N=3$ case: Scatter plots between a pair of observables or parameters of the model.

Figure 6

$N=5$ case: Scatter plots between a pair of observables or parameters of the model.

Figure 7

$N=7$ case: Scatter plots between a pair of observables or parameters of the model.

Figure 8

$N=9$ case: Scatter plots between a pair of observables or parameters of the model.