Abstract
We find constraints on the highest scale of symmetry breaking of a model with gauge symmetry $SU(3)_C \otimes SU(3)_L \otimes U(1)_X$ with heavy neutral leptons in the fermion triplets, calculating the anomalous magnetic moment of the muon and using results of the relic abundance of dark matter and experiments searching for its direct detection. In order to do this, we have calculated the one-loop contribution of new particles in the model to $(g-2)_{\mu}$, finding a favoured region for the scale at which $SU(3)_L$ is broken, and we have found lower bounds for this scale making a comparison of the predictions for the detection of a fermion dark matter candidate in the model in terms of simplified dark matter models, identifying the dominant portal for its interactions with standard model particles, and using constraints for the relic abundance and spin-independent scattering cross section of the fermion candidate with protons.
Highlights
Different experimental results point to the incompleteness of the standard model (SM) of particle physics as a theory describing the constituents of nature
VI we find constraints on the mass of the mediator of dark matter (DM)-SM interactions, which can be translated in lower bounds for the SUð3ÞL symmetry breaking scale, and compare these results with the favored window coming from the contributions to the anomalous magnetic moment of the muon
We present a review of a complete model beyond the SM, for which a fermion DM candidate is contained in its particle spectrum, and for which we will calculate the contribution of new particles to the anomalous magnetic moment of the muon, and results on DM observables will be compared in terms of the simplified model predictions just discussed
Summary
Different experimental results point to the incompleteness of the standard model (SM) of particle physics as a theory describing the constituents of nature. The analysis of [22,23] includes different collider and DM direct detection constraints in the framework of simplified models for DM, and the calculation of contributions of new particles to the muon anomalous magnetic moment, introducing new scalars or fermions that can be in different representations of the SM gauge group. Our approach is different from this, in the sense that we determine first the dominant portal for the interactions in the 3 − 3 − 1 model, and analyze the results in the framework of a simplified model with a gauge boson as the mediator of DM-SM interactions, without including new scalar or fermion fields besides the DM candidate.
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