Abstract
The Standard Model gauge symmetry is extended by $U(1)_{B-L}$ which when spontaneously broken leads to residual $\mathbb{Z}_4$ symmetry. $U(1)_{B-L}$ gauge symmetry made anomaly free by introducing exotic SM singlets with corresponding $U(1)_{B-L}$ charges of $13$, $-14$, and $15$. $\mathbb{Z}_4$ symmetry ensures the Dirac nature of neutrinos, simultaneously stabilizing dark matter. Dirac neutrino mass is generated through scotogenic scenario. Dark matter, direct detection, cosmological constraints, and collider constraints analysis is performed. $\mathbb{Z}_4$ symmetry predicts the exact absence of neutrinoless double beta decay ($0\nu 2\beta$) and gives a prediction for an enhanced neutrinoless quadruple beta decay ($0\nu 4\beta$) via which this model can be tested. Model allows for Majorana dark matter as well as for long-lived dark matter candidates.
Highlights
The Standard Model (SM) of strong and electroweak interactions has proven to be very successful so far with the last remaining piece experimentally discovered on July 4th,[1,2]
All these tree level realizations of naturally small neutrino masses require either a small couplings or heavy new particles in order to explain the smallness of the neutrino masses, and they lead to unique dimension-five effective operator
We propose a UV complete model where the lepton number is gauged in Uð1ÞB−L symmetry [42] to show that the observation of 0ν4β without observing 0ν2β can indicate that neutrinos are a Dirac particle
Summary
The Standard Model (SM) of strong and electroweak interactions has proven to be very successful so far with the last remaining piece experimentally discovered on July 4th,. Uð1ÞB−L to the residual Z4 discrete symmetry that allows for Dirac neutrinos whose masses are radiatively generated via scotogenic scenario. The model is constructed as follows: (i) νR is introduced as the Dirac partner for left-handed neutrinos; (ii) N L;R fermions, η, and χ scalars are introduced to complete the loop for a radiative neutrino mass generation, i.e., the scotogenic scenario; (iii) Ψi are introduced for anomaly cancellation; (iv) S4 is needed for the spontaneous symmetry breaking (SSB) of Uð1ÞB−L to the residual Z4 discrete symmetry in the leptonic sector; and (v) S is introduced to serve as a mediator for the process of 0ν4β, and its existence is crucial to enhance the amplitude of 0ν4β.
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